Staggered fermions and chiral symmetry breaking in transverse lattice regulated QED

Technical Report · Wed Jul 01 04:00:00 EDT 1992

DOI:https://doi.org/10.2172/10177848· OSTI ID:10177848

Griffin, P A

Staggered fermions are constructed for the transverse lattice regularization scheme. The weak perturbation theory of transverse lattice non-compact QED is developed in light-cone gauge, and we argue that for fixed lattice spacing this theory is ultraviolet finite, order by order in perturbation theory. However, by calculating the anomalous scaling dimension of the link fields, we find that the interaction Hamiltonian becomes non-renormalizable for g{sup 2}(a) > 4{pi}, where g(a) is the bare (lattice) QED coupling constant. We conjecture that this is the critical point of the chiral symmetry breaking phase transition in QED. Non-perturbative chiral symmetry breaking is then studied in the strong coupling limit. The discrete remnant of chiral symmetry that remains on the lattice is spontaneously broken, and the ground state to lowest order in the strong coupling expansion corresponds to the classical ground state of the two-dimensional spin one-half Heisenberg antiferromagnet.

• Research Organization: Florida Univ., Gainesville, FL (United States). Dept. of Physics
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: FG05-86ER40272
• OSTI ID: 10177848
• Report Number(s): DOE/ER/40272--169; UFIFT-HEP--92-19; ON: DE92040505
• Country of Publication: United States
• Language: English

Related Subjects

662120
662220
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
EQUATIONS OF MOTION
FERMIONS
HAMILTONIANS
LATTICE FIELD THEORY
LIGHT CONE
PERTURBATION THEORY
PHASE TRANSFORMATIONS
QUANTUM ELECTRODYNAMICS
SYMMETRY BREAKING
SYMMETRY
CONSERVATION LAWS
CURRENTS AND THEIR PROPERTIES