Monte Carlo simulations of systems with fermions

Journal Article · Sat Aug 15 04:00:00 EDT 1981 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.24.951· OSTI ID:6182349

Hamber, H W

We present results of a Monte Carlo evaluation of the path integral for two-dimensional theories with fermions. These include fermions coupled to scalar fields and fermions coupled to Abelian gauge bosons. On a 10 by 10 lattice we have computed expectation values of local operators and correlation functions, from which we have estimated mass gaps. In the case of the coupled gauge-fermion system we find dynamical mass generation for both fermions and gauge bosons. We discuss the phase diagram and the continuum limit of the theory.

• Research Organization: Department of Physics, Brookhaven National Laboratory, Upton, New York 11973
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 6182349
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 24:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CORRELATION FUNCTIONS
DIAGRAMS
FERMIONS
FEYNMAN PATH INTEGRAL
FUNCTIONS
GAUGE INVARIANCE
INTEGRALS
INVARIANCE PRINCIPLES
MONTE CARLO METHOD
PHASE DIAGRAMS
SCALAR FIELDS