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

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dc.creatorKarbstein, Felix
dc.creatorThies, Michael
dc.date2007-08-23
dc.date2007-11-29
dc.date.accessioned2026-07-07T11:18:50Z
dc.date.available2026-07-07T11:18:50Z
dc.descriptionWe 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 non-linear Dirac equation. Its solution reproduces the full semi-classical results including the Dirac sea to any desired accuracy. Dynamical effects from the Dirac sea are encoded in higher order derivative terms and multi-fermion interactions with perturbatively calculable, finite coefficients. Characteristic differences between models with discrete and continuous chiral symmetry are observed and clarified.
dc.description13 pages, 11 figures; v2: typos corrected (Eqs. 4 and 44)
dc.identifierhttps://arxiv.org/abs/0708.3176
dc.identifierhttp://arxiv.org/abs/0708.3176
dc.identifierPhys.Rev.D77:025008,2008
dc.identifierdoi:10.1103/PhysRevD.77.025008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193483
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleIntegrating out the Dirac sea: Effective field theory approach to exactly solvable four-fermion models
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