Intersecting branes and Nambu-Jona-Lasinio model

Journal Article · Mon Jun 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.125013· OSTI ID:21301020

Dhar, Avinash; Nag, Partha ^[1]

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1. Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005 (India)

We discuss chiral symmetry breaking in the intersecting brane model of Sakai and Sugimoto at weak coupling for a generic value of separation L between the flavor D8 and anti-D8-branes. For any finite value of the radius R of the circle around which the color D4-branes wrap, a nonlocal Nambu-Jona-Lasinio-type short-range interaction couples the flavor branes and antibranes. We argue that chiral symmetry is broken in this model only above a certain critical value of the four-dimensional 't Hooft coupling and confirm this through numerical calculations of solutions to the gap equation. We also numerically investigate chiral symmetry breaking in the limit R{yields}{infinity} keeping L fixed, but find that simple ways of implementing this limit do not lead to a consistent picture of chiral symmetry breaking in the noncompact version of the nonlocal Nambu-Jona-Lasinio model.

• OSTI ID: 21301020
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BRANES
CHIRAL SYMMETRY
COUPLING
EQUATIONS
FOUR-DIMENSIONAL CALCULATIONS
INTERACTION RANGE
M-THEORY
MATHEMATICAL SOLUTIONS
SYMMETRY BREAKING
WEAK-COUPLING MODEL