Local thermal equilibrium and KMS states in curved spacetime

Solveen, Christoph

doi:10.1088/0264-9381/29/24/245015

Cited by 17 publications

(26 citation statements)

References 23 publications

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“…Specifically, if one treats a scalar field model with the conformal coupling to gravity, then one can find that Φ 2 (x) = T 2 /12 in a thermal state characterized by the temperature T . This was also generalized and treated in curved spacetimes [10][11][12][13]. Certain applications in flat space were studied in [14].…”

Section: Introductionmentioning

confidence: 99%

Effective photon mass from black-hole formation

Emelyanov

2017

Nuclear Physics B

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We compute the value of effective photon mass $m_\gamma$ at one-loop level in QED in the background of small ($10^{10}\,\text{g} \lesssim M \ll 10^{16}\,\text{g}$) spherically symmetric black hole in asymptotically flat spacetime. This effect is associated with the modification of electron/positron propagator in presence of event horizon. Physical manifestations of black-hole environment are compared with those of hot neutral plasma. We estimate the distance to the nearest black hole from the upper bound on $m_\gamma$ obtained in the Coulomb-law test. We also find that corrections to electron mass $m_e$ and fine structure constant $\alpha$ at one-loop level in QED are negligible in the weak gravity regime.Comment: version to be published in Nuclear Physics

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Section: Introductionmentioning

confidence: 99%

Effective photon mass from black-hole formation

Emelyanov

2017

Nuclear Physics B

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“…Moreover, we showed that it can be isometrically mapped to a state on the past horizons, as expressed in equation (40). This result shows how expectation values of observables in the region M are related to the expectation values on the horizons.…”

Section: Discussionmentioning

confidence: 56%

“…The authors of [28] went even further and proved the nonexistence by showing that such a state would give rise to contradictions related to causality. We remark that the point of view adopted in [28] is more robust because, recently, a novel definition of local thermal equilibrium has been proposed [8,9] and one of the consequences of this definition is that a thermal state does not always describe a situation in which local thermal equilibrium is attained [10,40]. We do not wish to extend the discussion here, but we will address this topic in more detail in a future work.…”

Section: Discussionmentioning

confidence: 99%

Hadamard state in Schwarzschild–de Sitter spacetime

Brum

Jorás

2014

Class. Quantum Grav.

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Abstract. We construct a state in the Schwarzschild-de Sitter spacetime which is invariant under the action of its group of symmetries. Our state is not defined in the whole Kruskal extension of this spacetime, but rather in a subset of the maximally extended conformal diagram. The construction is based on a careful use of the bulk-to-boundary technique. We will show that our state is Hadamard and that it is not a KMS state, differently from the case of states constructed in spacetimes containing only one event horizon.

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“…The resulting interactions is a massive field accompanied by a massless field. The important observation here is that the charge of the conserved symmetry current, whose charge before the field shift was related to a finite global charge 49 Different from spinor QED which only has one coupling parameter, the renormalization of a pointlike scalar gauge coupling leads in addition to a quadrilinear selfcoupling of the matter field.…”

Section: Zero Mass Limits and A Perturbative Scenario For Confinementmentioning

confidence: 88%

“…As a result of the two derivatives, the two-pointfunctions on the left hand side involves fields of scaling dimension 2. The resulting scaling degree 4 of the 2-pointfunction leads to a delta function renormalization counterterm in T LL | 1−contr with undetermoned coefficient c. Our main interest is the fulfillment of the relations (49) in the tree approximation. It is clear that the use of the T 0 1-contraction contribution will not fulfill (49).…”

Section: Scalar Massive Qedmentioning

confidence: 99%

Modular localization and the holistic structure of causal quantum theory, a historical perspective

Schroer

2014

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Recent insights into the conceptual structure of localization in QFT ("modular localization") led to clarifications of old unsolved problems. The oldest one is the Einstein-Jordan conundrum which led Jordan in 1925 to the discovery of quantum field theory. This comparison of fluctuations in subsystems of heat bath systems (Einstein) with those resulting from the restriction of the QFT vacuum state to an open subvolume (Jordan) leads to a perfect analogy; the globally pure vacuum state becomes upon local restriction a strongly impure KMS state. This phenomenon of localization-caused thermal behavior as well as the vacuum-polarization clouds at the causal boundary of the localization region places localization in QFT into a sharp contrast with quantum mechanics and justifies the attribute "holstic". In fact it positions the E-J Gedankenexperiment into the same conceptual category as the cosmological constant problem and the Unruh Gedankenexperiment. The holistic structure of QFT resulting from "modular localization" also leads to a revision of the conceptual origin of the crucial crossing property which entered particle theory at the time of the bootstrap S-matrix approach but suffered from incorrect use in the S-matrix settings of the dual model and string theory.The new holistic point of view, which strengthens the autonomous aspect of QFT, also comes with new messages for gauge theory by exposing the clash between Hilbert space structure and localization and presenting alternative solutions based on the use of stringlocal fields in Hilbert space. Among other things this leads to a radical reformulation of the Englert-Higgs symmetry breaking mechanism. Contents 1 Introduction 282 Vacuum polarization, area law 383 Modular localization and its thermal manifestation 424 The E-J conundrum, Jordan's model 545 Particle crossing, on-shell constructions from modular setting 58 PrefaceThe subject of this paper grew out of many discussions about Jordan's discovery of quantum field theory (QFT) which I had with the late Jürgen Ehlers. These conversations focussed in particular on events between the publication of Jordan's thesis on quantum aspects of statistical quantum mechanics in 1924 [1], and his discovery of QFT which was published in one section of the famous 1926 "Dreimännerarbeit" [2] together with Born and Heisenberg. This famous paper was in fact conceived as the second paper on quantum mechanics (QM). The resistance of Born and Heisenberg against Jordan's section has its natural explanation in that these two authors felt that Jordan was burdening the conceptual struggle to understand the new quantum mechanics with something which was even further out. I met Jürgen Ehlers the first time around 1957 at the University of Hamburg when he was Jordan's assistant and played the leading role in Jordan's general relativity seminar. Our paths split, after I wrote my diploma thesis on a topic of particle theory at the time when particle physics moved away from the university to the newly constructed high energy la...

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Local thermal equilibrium and KMS states in curved spacetime

Cited by 17 publications

References 23 publications

Effective photon mass from black-hole formation

Effective photon mass from black-hole formation

Hadamard state in Schwarzschild–de Sitter spacetime

Modular localization and the holistic structure of causal quantum theory, a historical perspective

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