skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Generalized Gross-Neveu models and chiral symmetry breaking from string theory

Abstract

We consider intersecting D-brane models which have two dimensional chiral fermions localized at the intersections. At weak coupling, the interactions of these fermions are described by generalized Gross-Neveu models. At strong coupling, these configurations are described by the dynamics of probe D-branes in a curved background spacetime. We study patterns of dynamical chiral symmetry breaking in these models at weak and strong coupling, and also discuss relationships between these two descriptions.

Authors:
 [1];  [2]
  1. Institute for Advanced Study, Princeton, New Jersey 08540 (United States)
  2. Department of Physics, University of California Santa Barbara, Santa Barbara, California 93106 (United States)
Publication Date:
OSTI Identifier:
21020184
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.065005; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CHIRALITY; COUPLING; D-BRANES; FERMIONS; LAGRANGIAN FIELD THEORY; PARTICLE INTERACTIONS; SPACE-TIME; STRING MODELS; STRONG-COUPLING MODEL; SYMMETRY BREAKING

Citation Formats

Basu, Anirban, and Maharana, Anshuman. Generalized Gross-Neveu models and chiral symmetry breaking from string theory. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.065005.
Basu, Anirban, & Maharana, Anshuman. Generalized Gross-Neveu models and chiral symmetry breaking from string theory. United States. doi:10.1103/PHYSREVD.75.065005.
Basu, Anirban, and Maharana, Anshuman. Thu . "Generalized Gross-Neveu models and chiral symmetry breaking from string theory". United States. doi:10.1103/PHYSREVD.75.065005.
@article{osti_21020184,
title = {Generalized Gross-Neveu models and chiral symmetry breaking from string theory},
author = {Basu, Anirban and Maharana, Anshuman},
abstractNote = {We consider intersecting D-brane models which have two dimensional chiral fermions localized at the intersections. At weak coupling, the interactions of these fermions are described by generalized Gross-Neveu models. At strong coupling, these configurations are described by the dynamics of probe D-branes in a curved background spacetime. We study patterns of dynamical chiral symmetry breaking in these models at weak and strong coupling, and also discuss relationships between these two descriptions.},
doi = {10.1103/PHYSREVD.75.065005},
journal = {Physical Review. D, Particles Fields},
number = 6,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}
  • Chiral symmetry of the 2-dimensional chiral Gross-Neveu model is broken explicitly by a bare mass term as well as a splitting of scalar and pseudoscalar coupling constants. The vacuum and light hadrons--mesons and baryons which become massless in the chiral limit--are explored analytically in leading order of the derivative expansion by means of a double sine-Gordon equation. Depending on the parameters, this model features new phenomena as compared to previously investigated 4-fermion models: spontaneous breaking of parity, a nontrivial chiral vacuum angle, twisted kinklike baryons whose baryon number reflects the vacuum angle, crystals with alternating baryons, and appearance of amore » false vacuum.« less
  • The three-dimensional Gross-Neveu model in a strong magnetic field and at finite density is considered. It is shown that the phase structure of the model depends crucially on the filling of the threshold levels. In particular, with asymmetric filling'' of the threshold levels, a magnetic field induces a transition to a phase with broken chiral symmetry.
  • We show how to establish the scattering theory of the chiral Gross-Neveu model in terms of a massive field with generalized statistics. It is in terms of this field that the property of antiparticles being bound states of particles is consistently formulated. We also employ an auxiliary local Fermi field in order to develop an infrared-regular 1/N expansion. The connection between these two fields is discussed.
  • The phase diagram of the massive chiral Gross-Neveu model (the massive Nambu-Jona-Lasinio model in 1+1 dimensions) is constructed. In the large N limit, the Hartree-Fock approach can be used. We find numerically a chiral crystal phase separated from a massive Fermi gas phase by a 1st order transition. Using perturbation theory, we also construct the critical sheet where the homogeneous phase becomes unstable in a 2nd order transition. A tricritical curve is located. The phase diagram is mapped out as a function of fermion mass, chemical potential and temperature, and compared with the one of the discrete chiral Gross-Neveu model.more » As a by-product, we illustrate the crystal structure of matter at zero temperature for various densities and fermion masses.« less
  • Based on chiral Ward-Takahashi identities with composite fields, we develop a method to investigate fermion mass generation and bound-state spectra in the (2+1)-dimensional chiral Gross-Neveu model.