Massless Thirring model in curved space - Thermal states and conformal anomaly

Details Massless Thirring model in curved space - Thermal states and conformal anomaly Massless Thirring model in curved space - Thermal states and conformal anomaly

Dec 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phrvd..18.4408b&link_type=abstract

Physical Review D - Particles and Fields, 3rd Series, vol. 18, Dec. 15, 1978, p. 4408-4421. Oesterreichischer Fonds zur Foerderu

Astronomy and Astrophysics

Astronomy

18

Astronomical Models, Black Holes (Astronomy), Gravitation Theory, Particle Production, Quantum Theory, Relativistic Particles, Space Mechanics, Anomalies, Conformal Mapping, Fermions, Field Theory (Physics), Minkowski Space, Space-Time Functions, Stress Tensors, Thermal Radiation

Scientific paper

The massless Thirring model of a self-interacting fermion field in a curved two-dimensional background spacetime is considered. The exact operator solution for the fields and the equation for the two-point function are given and used to examine the radiation emitted by a two-dimensional black hole. The radiation is found to be thermal in nature, confirming general predictions to this effect. The particle spectrum of the Thirring fermions at finite temperature in Minkowski space is computed. The vacuum expectation value of the stress tensor in an arbitrary two-dimensional spacetime is calculated by exploiting the connection between the thermal Hawking radiation from a black hole and the value of the so-called conformal trace anomaly. The latter is also computed quite independently, using dimensional regularization, from general considerations of the renormalization group. The stress tensor is found to be identical to the free-fermion case. Some discussion of the significance of this work for the second law of thermodynamics and black-hole entropy is given.

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