Chiral and parity symmetry breaking for planar fermions: Effects of a heat bath and uniform external magnetic field

Journal Article · Wed Sep 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.056011· OSTI ID:21421090

Ayala, Alejandro ^[1]; Bashir, Adnan; Gutierrez, Enif; Raya, Alfredo ^[2]; Sanchez, Angel ^[2]

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1. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Apartado Postal 70-543, Mexico Distrito Federal 04510 (Mexico)
2. Instituto de Fisica y Matematicas, Universidad Michoacana de San Nicolas de Hidalgo, Edificio C-3, Ciudad Universitaria, Morelia, Michoacan 58040 (Mexico)

We study chiral symmetry breaking for relativistic fermions, described by a parity-violating Lagrangian in 2+1-dimensions, in the presence of a heat bath and a uniform external magnetic field. Working within their four-component formalism allows for the inclusion of both parity-even and -odd mass terms. Therefore, we can define two types of fermion antifermion condensates. For a given value of the magnetic field, there exist two different critical temperatures which would render one of these condensates identically zero, while the other would survive. Our analysis is completely general: it requires no particular simplifying hierarchy among the energy scales involved, namely, bare masses, field strength, and temperature. However, we do reproduce some earlier results, obtained or anticipated in literature, corresponding to special kinematical regimes for the parity conserving case. Relating the chiral condensate to the one-loop effective Lagrangian, we also obtain the magnetization and the pair production rate for different fermion species in a uniform electric field through the replacement B{yields}-iE.

• OSTI ID: 21421090
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 5; Other Information: DOI: 10.1103/PhysRevD.82.056011; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
CHIRALITY
CONDENSATES
CRITICAL TEMPERATURE
ELECTRIC FIELDS
FERMIONS
LAGRANGIAN FUNCTION
MAGNETIC FIELDS
MAGNETIZATION
MASS
PAIR PRODUCTION
PARITY
RELATIVISTIC RANGE
SYMMETRY BREAKING
THREE-DIMENSIONAL CALCULATIONS
ENERGY RANGE
FUNCTIONS
INTERACTIONS
PARTICLE PRODUCTION
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
SYMMETRY
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE