Quantum Field Theory as Dynamical System

Borchers, H. J.

doi:10.1142/9789812777850_0004

Cited by 1 publication

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References 31 publications

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“…In the two-dimensional version the plane is mapped into the forward light cone and the abstract thermal commutant is mapped onto the algebra of the backward light cone. The computational part of these generalizations can be found in [30,31].…”

Section: The Interpretation Of Localization-caused Thermality On the ...mentioning

confidence: 99%

Area density of localization entropy: I. The case of wedge localization

Schroer¹

2006

Class. Quantum Grav.

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Using an appropriately formulated holographic lightfront projection, we derive an area law for the localization-entropy caused by vacuum polarization on the horizon of a wedge region. Its area density has a simple kinematic relation to the volume extensive heat bath entropy of the lightfront algebra. Apart from a change of parametrization, the infinite lightlike length contribution to the lightfront volume factor corresponds to the short-distance divergence of the area density of the localization entropy. This correspondence is a consequence of the conformal invariance of the lightfront holography combined with the well-known fact that conformality relates short to long distances. In the explicit calculation of the strength factor we use the temperature duality relation of rational chiral theories whose derivation will be briefly reviewed. We comment on the potential relevance for the understanding of Black hole entropy.1 In the spirit of Haag's book [12] we prefer the term local quantum physics (LQP) or algebraic QFT (AQFT) whenever we want to de-emphasize the use of field coordinatizations in favor of a more intrinsic local operator-algebraic presentation of QFT.2 These refinements resulted from a better understanding of the nature of fields as operatorvalued distribution, requiring a smoothing in the definition of partial charges by a test function which includes a compact smearing in time.3 The relativistic particle interpretation of quantum field theory was finally abandoned when it became clear that Dirac's hole theory although successful in low orders (see Heitler's book) cannot cope with renormalization. 4 A general wedge W is a Poincaré transform of the standard wedge W 0 = {x 1 > |x 0 | , x 2,3 arbitrary}, and a subwedge region O is any region which can be enclosed in a wedge W ⊃ O. Wedges and their intersections play a prominent role in formulations of QFT which trade singular fields against algebras of (bounded) localized operators, since they are the natural Poincaré-invariant families of localization regions (invariant as families, not as individual algebras).

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Section: The Interpretation Of Localization-caused Thermality On the ...mentioning

confidence: 99%

Area density of localization entropy: I. The case of wedge localization

Schroer¹

2006

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

Quantum Field Theory as Dynamical System

Cited by 1 publication

References 31 publications

Area density of localization entropy: I. The case of wedge localization

Area density of localization entropy: I. The case of wedge localization

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