Integrating out the Dirac sea: Effective field theory approach to exactly solvable four-fermion models

Journal Article · Tue Jan 15 00:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.025008· OSTI ID:21038947

Karbstein, Felix; Thies, Michael ^[1]

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1. Institut fuer Theoretische Physik III, Universitaet Erlangen-Nuernberg, D-91058 Erlangen (Germany)

We use (1+1)-dimensional large N Gross-Neveu models as a laboratory to derive microscopically effective Lagrangians for positive energy fermions only. When applied to baryons, the Euler-Lagrange equation for these effective theories assumes the form of a nonlinear Dirac equation. Its solution reproduces the full semiclassical results including the Dirac sea to any desired accuracy. Dynamical effects from the Dirac sea are encoded in higher order derivative terms and multifermion interactions with perturbatively calculable, finite coefficients. Characteristic differences between models with discrete and continuous chiral symmetry are observed and clarified.

• OSTI ID: 21038947
• Journal Information: Physical Review. D, Particles Fields, Vol. 77, Issue 2; Other Information: DOI: 10.1103/PhysRevD.77.025008; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCURACY
BARYONS
CHIRAL SYMMETRY
DIRAC EQUATION
EXACT SOLUTIONS
LAGRANGE EQUATIONS
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PARTICLE INTERACTIONS
SEMICLASSICAL APPROXIMATION