Exact effective action for [(1+1)-dimensional] fermions in an Abelian background at finite temperature

Journal Article · Sat May 01 04:00:00 EDT 1999 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.59.105011· OSTI ID:337600

Das, A ^[1]; da Silva, A J ^[2]

---

1. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (United States)
2. Instituto de Fisica, Universidade de Sao Paulo, Caixa Postal 66318, Sao Paulo, SP 05315-970 (Brazil)

In an effort to further understand the structure of effective actions for fermions in an external gauge background at finite temperature, we study the example of (1+1)-dimensional fermions interacting with an arbitrary Abelian gauge field. We evaluate the effective action exactly at finite temperature. This effective action is non-analytic as is expected at finite temperature. However, contrary to the structure at zero temperature and contrary to naive expectations, the effective action at finite temperature has interactions to all (even) orders (which, however, do not lead to any quantum corrections). The covariant structure thus obtained may prove useful in studying (2+1)-dimensional models in arbitrary backgrounds. We also comment briefly on the solubility of various (1+1)-dimensional models at finite temperature. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 337600
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 10 Vol. 59; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ACTION INTEGRAL
FERMIONS
GAUGE INVARIANCE
QUANTUM FIELD THEORY