Lattice gauge theory: Hamiltonian, Wilson fermions, and action

Journal Article · Tue Apr 15 04:00:00 EST 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.2367· OSTI ID:6005955

Baaquie, B E

We derive the gauge-theory Hamiltonian in the axial gauge directly from the path integral defined by the Wilson lattice action. We define the state space for the gauge field coupled to Wilson fermions and derive noncanonical equal-time anticommutation equations for Wilson fermions. We show that the Hamiltonian is nonlocal for fermions with canonical anticommutation. We derive the color charge operator and formulate Gauss's law for the system. We then evaluate the lattice action starting from a lattice fermionic Hamiltonian, and derive a boundary term in addition to the finite-time continuum action. Lastly we discuss our results.

• Research Organization: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305 Department of Physics, National University of Singapore, Kent Ridge, Singapore 0511
• OSTI ID: 6005955
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 33:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
COLOR MODEL
COMPOSITE MODELS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
EUCLIDEAN SPACE
FERMIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
HILBERT SPACE
INTEGRALS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATRIX ELEMENTS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
QUARKS
RIEMANN SPACE
SPACE
SPACE-TIME
SPINORS
WILSON LOOP