Manifestations of Quantum Anomalies of Field Theory in Quantum Statistical Mechanics
| Autor: | Oleg Teryaev, G. Yu. Prokhorov, V. I. Zakharov |
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| Rok vydání: | 2020 |
| Předmět: |
Chiral anomaly
Physics Nuclear and High Energy Physics Polynomial 010308 nuclear & particles physics 01 natural sciences Matrix (mathematics) symbols.namesake 0103 physical sciences symbols Anomaly (physics) Quantum field theory 010306 general physics Hamiltonian (quantum mechanics) Quantum statistical mechanics Quantum Mathematical physics |
| Zdroj: | Physics of Particles and Nuclei. 51:514-520 |
| ISSN: | 1531-8559 1063-7796 |
| DOI: | 10.1134/s1063779620040796 |
| Popis: | A new class of relations for statistically averaged matrix elements of different operators (such as Hamiltonian and conserved currents) is described in the one-loop approximation. The matrix elements have polynomial dependence on temperature and other thermodynamic values characterizing the equilibrium of the medium (the chemical potential, the angular velocity of rotation, and the acceleration). In this sense, the situation is analogous to the chiral anomaly in quantum field theory, which fixes the divergence of the axial current as a polynomial in external electromagnetic fields. Moreover, in this special case of matrix element of the axial current, it is possible to establish the relationship between the derivation of the anomaly and the one-loop expressions of statistical physics. The central role in establishing the correspondence is played by the polynomial Sommerfeld integrals. The generalizations of the one-loop relations in statistical physics are proposed, which (at least, today) have no analogs in quantum field theory. |
| Databáze: | OpenAIRE |
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