Chiral symmetry breaking with lattice propagators

Journal Article · Sat Jan 01 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.014013· OSTI ID:21503871

Aguilar, A C ^[1]; Papavassiliou, J ^[2]

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1. Federal University of ABC, CCNH, Rua Santa Adelia 166, CEP 09210-170, Santo Andre (Brazil)
2. Department of Theoretical Physics and IFIC, University of Valencia-CSIC, E-46100, Valencia (Spain)

We study chiral symmetry breaking using the standard gap equation, supplemented with the infrared-finite gluon propagator and ghost dressing function obtained from large-volume lattice simulations. One of the most important ingredients of this analysis is the non-Abelian quark-gluon vertex, which controls the way the ghost sector enters into the gap equation. Specifically, this vertex introduces a numerically crucial dependence on the ghost dressing function and the quark-ghost scattering amplitude. This latter quantity satisfies its own, previously unexplored, dynamical equation, which may be decomposed into individual integral equations for its various form factors. In particular, the scalar form factor is obtained from an approximate version of the 'one-loop dressed' integral equation, and its numerical impact turns out to be rather considerable. The detailed numerical analysis of the resulting gap equation reveals that the constituent quark mass obtained is about 300 MeV, while fermions in the adjoint representation acquire a mass in the range of (750-962) MeV.

• OSTI ID: 21503871
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 1; Other Information: DOI: 10.1103/PhysRevD.83.014013; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
CHIRAL SYMMETRY
COMPUTERIZED SIMULATION
FORM FACTORS
GLUONS
INTEGRAL EQUATIONS
LATTICE FIELD THEORY
MASS
MEV RANGE 100-1000
NUMERICAL ANALYSIS
PROPAGATOR
QUARKS
SCATTERING AMPLITUDES
SYMMETRY BREAKING
AMPLITUDES
BOSONS
CALCULATION METHODS
CONSTRUCTIVE FIELD THEORY
DIMENSIONLESS NUMBERS
ENERGY RANGE
EQUATIONS
FERMIONS
FIELD THEORIES
MATHEMATICS
MEV RANGE
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SIMULATION
SYMMETRY