Large N gauge theory at strong coupling with chiral fermion

Thesis/Dissertation · Sat Jan 01 00:00:00 EST 1983

OSTI ID:6396479

Martin, O C

The properties of the SU(N) lattice gauge theory are investigated at strong coupling (lambda approx. = infinity). An Euclidean formulation with naive fermions is used which preserves all the chiral symmetries of the continuum theory, and solve the theory exactly in the limit N..-->..infinity,lambda..-->..infinity. It is shown how the hopping parameter expansion in the inverse quark mass can be summed to all orders. This method of resummation is first applied to a calculation of the order parameter of chiral symmetry, . The first two terms in the strong coupling expansion for this quantity was computed but neglect internal fermion loops, and show that at sufficiently strong coupling, the chiral symmetry spontaneously breaks. After considering several mechansims, it was concluded that chiral symmetries break when the gauge forces are strong enough to make a quark-anti-quark bound state. Next, resummation is used to find the spectrum of the N = lambda = infinity theory as a function of the bare mass of the quarks, and calculation is made for the first correction in lambda/sup -1/ to this spectrum. The mesons are pseudo-Goldstone bosons, and the baryons acquire masses of order N through the spontaneous breakdown of chiral symmetry. These calculations also determine the spectrum of the strongly coupled theory at finite N in the approximation of no internal quark loops. These masses are compared to those from numerical simulations and experiment.

• Research Organization: California Inst. of Tech., Pasadena (USA)
• OSTI ID: 6396479
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
STRONG-COUPLING MODEL
CHIRAL SYMMETRY
HADRONS
MASS SPECTRA
ORDER PARAMETERS
SU GROUPS
SYMMETRY BREAKING
UNIFIED GAUGE MODELS
ELEMENTARY PARTICLES
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
SPECTRA
SYMMETRY
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory