Buchholz, Detlev

[["dc.bibliographiccitation.artnumber","27"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Letters in Mathematical Physics"],["dc.bibliographiccitation.volume","112"],["dc.contributor.author","Buchholz, Detlev"],["dc.contributor.author","Ciolli, Fabio"],["dc.contributor.author","Ruzzi, Giuseppe"],["dc.contributor.author","Vasselli, Ezio"],["dc.date.accessioned","2022-04-01T10:01:03Z"],["dc.date.available","2022-04-01T10:01:03Z"],["dc.date.issued","2022"],["dc.description.abstract","Abstract A universal C -algebra of gauge invariant operators is presented, describing the electromagnetic field as well as operations creating pairs of static electric charges having opposite signs. Making use of Gauss’ law, it is shown that the string-localized operators, which necessarily connect the charges, induce outer automorphisms of the algebra of the electromagnetic field. Thus they carry additional degrees of freedom which cannot be created by the field. It reveals the fact that gauge invariant operators encode information about the presence of non-observable gauge fields underlying the theory. Using the Gupta-Bleuler formalism, concrete implementations of the outer automorphisms by exponential functions of the gauge fields are presented. These fields also appear in unitary operators inducing the time translations in the resulting representations of the universal algebra."],["dc.identifier.doi","10.1007/s11005-022-01515-4"],["dc.identifier.pii","1515"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/105590"],["dc.language.iso","en"],["dc.notes.intern","DOI-Import GROB-530"],["dc.relation.eissn","1573-0530"],["dc.relation.issn","0377-9017"],["dc.rights.uri","https://creativecommons.org/licenses/by/4.0"],["dc.title","The universal algebra of the electromagnetic field III. Static charges and emergence of gauge fields"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","947"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Communications in Mathematical Physics"],["dc.bibliographiccitation.lastpage","969"],["dc.bibliographiccitation.volume","377"],["dc.contributor.author","Buchholz, Detlev"],["dc.contributor.author","Fredenhagen, Klaus"],["dc.date.accessioned","2021-04-14T08:26:11Z"],["dc.date.available","2021-04-14T08:26:11Z"],["dc.date.issued","2020"],["dc.identifier.doi","10.1007/s00220-020-03700-9"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/81861"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-399"],["dc.relation.eissn","1432-0916"],["dc.relation.haserratum","/handle/2/90160"],["dc.relation.issn","0010-3616"],["dc.title","A C -algebraic Approach to Interacting Quantum Field Theories"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","32"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","General Relativity and Gravitation"],["dc.bibliographiccitation.volume","48"],["dc.contributor.author","Buchholz, Detlev"],["dc.contributor.author","Verch, Rainer"],["dc.date.accessioned","2018-11-07T10:17:48Z"],["dc.date.available","2018-11-07T10:17:48Z"],["dc.date.issued","2016"],["dc.description.abstract","It is shown that the Unruh effect, i.e. the increase in temperature indicated by a uniformly accelerated thermometer in an inertial vacuum state of a quantum field, cannot be interpreted as the result of an exchange of heat with a surrounding gas. Since the vacuum is spatially homogeneous in the accelerated system its temperature must be zero everywhere as a consequence of Tolman's law. In fact, the increase of temperature of accelerated thermometers is due to systematic quantum effects induced by the local coupling between the thermometer and the vacuum. This coupling inevitably creates excitations of the vacuum which transfer energy to the thermometer, gained by the acceleration, and thereby affect its readings. The temperature of the vacuum, however, remains to be zero for arbitrary accelerations."],["dc.identifier.doi","10.1007/s10714-016-2029-2"],["dc.identifier.isi","000371265800009"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/41298"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Springer"],["dc.relation.issn","1572-9532"],["dc.relation.issn","0001-7701"],["dc.title","Unruh versus Tolman: on the heat of acceleration Dedicated to the memory of Rudolf Haag"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","625"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Communications in Mathematical Physics"],["dc.bibliographiccitation.lastpage","641"],["dc.bibliographiccitation.volume","246"],["dc.contributor.author","Buchholz, D."],["dc.contributor.author","Summers, Stephen J."],["dc.date.accessioned","2018-11-07T10:49:48Z"],["dc.date.available","2018-11-07T10:49:48Z"],["dc.date.issued","2004"],["dc.description.abstract","Employing the algebraic framework of local quantum physics, vacuum states in Minkowski space are distinguished by a property of geometric modular action. This property allows one to construct from any locally generated net of observables and corresponding state a continuous unitary representation of the proper Poincare group which acts covariantly on the net and leaves the state invariant. The present results and methods substantially improve upon previous work. In particular, the continuity properties of the representation are shown to be a consequence of the net structure, and surmised cohomological problems in the construction of the representation are resolved by demonstrating that, for the Poincare group, continuous reflection maps are restrictions of continuous homomorphisms."],["dc.identifier.doi","10.1007/s00220-004-1060-4"],["dc.identifier.isi","000220722400010"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/48514"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Springer"],["dc.relation.issn","0010-3616"],["dc.title","An algebraic characterization of vacuum states in Minkowski space. III. Reflection maps"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","011903"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Journal of Mathematical Physics"],["dc.bibliographiccitation.volume","63"],["dc.contributor.author","Buchholz, Detlev"],["dc.date.accessioned","2022-04-01T10:02:46Z"],["dc.date.available","2022-04-01T10:02:46Z"],["dc.date.issued","2022"],["dc.identifier.doi","10.1063/5.0070866"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/106000"],["dc.language.iso","en"],["dc.notes.intern","DOI-Import GROB-530"],["dc.relation.eissn","1089-7658"],["dc.relation.issn","0022-2488"],["dc.title","Proper condensates"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.journal","Communications in Mathematical Physics"],["dc.contributor.author","Buchholz, Detlev"],["dc.contributor.author","Fredenhagen, Klaus"],["dc.date.accessioned","2021-10-01T09:58:51Z"],["dc.date.available","2021-10-01T09:58:51Z"],["dc.date.issued","2021"],["dc.identifier.doi","10.1007/s00220-021-04213-9"],["dc.identifier.pii","4213"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/90160"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-469"],["dc.relation.eissn","1432-0916"],["dc.relation.iserratumof","/handle/2/81861"],["dc.relation.issn","0010-3616"],["dc.title","Correction to: A C -algebraic Approach to Interacting Quantum Field Theories"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.subtype","erratum_ja"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","1001"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Annales Henri Poincaré"],["dc.bibliographiccitation.lastpage","1033"],["dc.bibliographiccitation.volume","22"],["dc.contributor.author","Buchholz, Detlev"],["dc.contributor.author","Fredenhagen, Klaus"],["dc.date.accessioned","2021-04-14T08:30:54Z"],["dc.date.available","2021-04-14T08:30:54Z"],["dc.date.issued","2020"],["dc.identifier.doi","10.1007/s00023-020-01002-3"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/83404"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-399"],["dc.relation.eissn","1424-0661"],["dc.relation.issn","1424-0637"],["dc.title","Dynamical C -algebras and Kinetic Perturbations"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","219"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Annals of Physics"],["dc.bibliographiccitation.lastpage","242"],["dc.bibliographiccitation.volume","297"],["dc.contributor.author","Buchholz, D."],["dc.contributor.author","Ojima, I."],["dc.contributor.author","Roos, H."],["dc.date.accessioned","2018-11-07T10:29:58Z"],["dc.date.available","2018-11-07T10:29:58Z"],["dc.date.issued","2002"],["dc.description.abstract","Within the framework of relativistic quantum field theory, a novel method is established which allows for distinguishing non-equilibrium states admitting locally a thermodynamic interpretation. The basic idea is to compare these states with global equilibrium states (KMS states) by means of local thermal observables. With the help of such observables, the states can be ordered into classes of increasing local thermal stability. Moreover, it is possible to identify states exhibiting certain specific thermal properties of interest, such as a definite local temperature or entropy density. The method is illustrated in a simple model describing the spatio-temporal evolution of a \"big heat bang.\" (C) 2002 Elsevier Science (USA)."],["dc.identifier.doi","10.1006/aphy.2002.6222"],["dc.identifier.isi","000175912400002"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/43761"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Academic Press Inc Elsevier Science"],["dc.relation.issn","0003-4916"],["dc.title","Thermodynamic properties of non-equilibrium states in quantum field theory"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","2725"],["dc.bibliographiccitation.issue","11"],["dc.bibliographiccitation.journal","Journal of Functional Analysis"],["dc.bibliographiccitation.lastpage","2779"],["dc.bibliographiccitation.volume","254"],["dc.contributor.author","Buchholz, Detlev"],["dc.contributor.author","Grundling, Hendrik"],["dc.date.accessioned","2018-11-07T11:14:44Z"],["dc.date.available","2018-11-07T11:14:44Z"],["dc.date.issued","2008"],["dc.description.abstract","The standard C -algebraic version of the algebra of canonical commutation relations, the Weyl algebra, frequently causes difficulties in applications since it neither admits the formulation of physically interesting dynamical laws nor does it incorporate pertinent physical observables such as (bounded functions of) the Hamiltonian. Here a novel C -algebra of the canonical commutation relations is presented which does not suffer from such problems. It is based on the resolvents of the canonical operators and their algebraic relations. The resulting C -algebra, the resolvent algebra, is shown to have many desirable analytic properties and the regularity structure of its representations is surprisingly simple. Moreover, the resolvent algebra is a convenient framework for applications to interacting and to constrained quantum systems, as we demonstrate by several examples. (c) 2008 Elsevier Inc. All rights reserved."],["dc.identifier.doi","10.1016/j.jfa.2008.02.011"],["dc.identifier.isi","000255993500002"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/54208"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Academic Press Inc Elsevier Science"],["dc.relation.issn","0022-1236"],["dc.title","The resolvent algebra: A new approach to canonical quantum systems"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","475"],["dc.bibliographiccitation.issue","4"],["dc.bibliographiccitation.journal","Reviews in Mathematical Physics"],["dc.bibliographiccitation.lastpage","560"],["dc.bibliographiccitation.volume","12"],["dc.contributor.author","Buchholz, D."],["dc.contributor.author","Dreyer, O."],["dc.contributor.author","Florig, M."],["dc.contributor.author","Summers, Stephen J."],["dc.date.accessioned","2018-11-07T08:31:49Z"],["dc.date.available","2018-11-07T08:31:49Z"],["dc.date.issued","2000"],["dc.description.abstract","A condition of geometric modular action is proposed as a selection principle for physically interesting states on general space-times. This condition is naturally associated with transformation groups of partially ordered sets and provides these groups with projective representations. Under suitable additional conditions, these groups induce groups of point transformations on these space-times, which may be interpreted as symmetry groups. The consequences of this condition are studied in detail in application to two concrete spacetimes - four-dimensional Minkowski and three-dimensional de Sitter spaces - for which it is shown how this condition characterizes the states invariant under the respective isometry group. An intriguing new algebraic characterization of vacuum states is given. In addition, the logical relations between the condition proposed in this paper and the condition of modular covariance, widely used in the literature, are completely illuminated."],["dc.identifier.doi","10.1142/S0129055X00000174"],["dc.identifier.isi","000087964300001"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/17202"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","World Scientific Publ Co Pte Ltd"],["dc.relation.issn","0129-055X"],["dc.title","Geometric modular action and spacetime symmetry groups"],["dc.type","review"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]