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Random walks and a simple chirally invariant lattice Hamiltonian without fermion doubling

Abstract

It is shown that there is a simple chirally-invariant lattice Hamiltonian for fermions which is doubling-free but non-Hermitian and which may be valuable in lattice Hamiltonian studies of quantum chromodynamics. A connection is established between the existence of random walk representations of spinor propagators and this doubling-free formulation, in analogy with Wilson fermions. 15 refs.
Authors:
Publication Date:
Dec 31, 1992
Product Type:
Technical Report
Report Number:
UM-P-91/93; OZ-91/20.
Reference Number:
SCA: 662120; PA: AIX-24:003431; SN: 93000913772
Resource Relation:
Other Information: PBD: [1992]
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FERMIONS; CHIRALITY; ANALYTICAL SOLUTION; CHIRAL SYMMETRY; COMPUTERIZED SIMULATION; HAMILTONIANS; LATTICE FIELD THEORY; MINKOWSKI SPACE; QUANTUM CHROMODYNAMICS; SPINORS; WILSON LOOP; 662120; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10109066
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE93609920; TRN: AU9212917003431
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[11] p.
Announcement Date:
Jun 30, 2005

Citation Formats

Belyea, C I. Random walks and a simple chirally invariant lattice Hamiltonian without fermion doubling. Australia: N. p., 1992. Web.
Belyea, C I. Random walks and a simple chirally invariant lattice Hamiltonian without fermion doubling. Australia.
Belyea, C I. 1992. "Random walks and a simple chirally invariant lattice Hamiltonian without fermion doubling." Australia.
@misc{etde_10109066,
title = {Random walks and a simple chirally invariant lattice Hamiltonian without fermion doubling}
author = {Belyea, C I}
abstractNote = {It is shown that there is a simple chirally-invariant lattice Hamiltonian for fermions which is doubling-free but non-Hermitian and which may be valuable in lattice Hamiltonian studies of quantum chromodynamics. A connection is established between the existence of random walk representations of spinor propagators and this doubling-free formulation, in analogy with Wilson fermions. 15 refs.}
place = {Australia}
year = {1992}
month = {Dec}
}