You need JavaScript to view this

Lattice fermions

Abstract

The so-called doubling problem in the lattice description of fermions led to a proof that under certain circumstances chiral gauge theories cannot be defined on the lattice. This is called the no-go theorem. It implies that if {Gamma}/sub/A is defined on a lattice then its infrared limit, which should correspond to the quantum description of the classical action for the slowly varying fields on lattice scale, is inevitably a vector like theory. In particular, if not circumvented, the no-go theorem implies that there is no lattice formulation of the Standard Weinberg-Salam theory or SU(5) GUT, even though the fermions belong to anomaly-free representations of the gauge group. This talk aims to explain one possible attempt at bypassing the no-go theorem. 20 refs.
Publication Date:
Dec 01, 1995
Product Type:
Technical Report
Report Number:
IC-95/376
Reference Number:
SCA: 662110; PA: AIX-27:052464; EDB-96:109942; NTS-96:019574; SN: 96001618430
Resource Relation:
Other Information: PBD: Dec 1995
Subject:
66 PHYSICS; LATTICE FIELD THEORY; ACTION INTEGRAL; CHIRALITY; FERMIONS; WEINBERG-SALAM GAUGE MODEL
OSTI ID:
252911
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE96629711; TRN: XA9642087052464
Availability:
INIS; OSTI as DE96629711
Submitting Site:
INIS
Size:
8 p.
Announcement Date:

Citation Formats

Randjbar-Daemi, S. Lattice fermions. IAEA: N. p., 1995. Web.
Randjbar-Daemi, S. Lattice fermions. IAEA.
Randjbar-Daemi, S. 1995. "Lattice fermions." IAEA.
@misc{etde_252911,
title = {Lattice fermions}
author = {Randjbar-Daemi, S}
abstractNote = {The so-called doubling problem in the lattice description of fermions led to a proof that under certain circumstances chiral gauge theories cannot be defined on the lattice. This is called the no-go theorem. It implies that if {Gamma}/sub/A is defined on a lattice then its infrared limit, which should correspond to the quantum description of the classical action for the slowly varying fields on lattice scale, is inevitably a vector like theory. In particular, if not circumvented, the no-go theorem implies that there is no lattice formulation of the Standard Weinberg-Salam theory or SU(5) GUT, even though the fermions belong to anomaly-free representations of the gauge group. This talk aims to explain one possible attempt at bypassing the no-go theorem. 20 refs.}
place = {IAEA}
year = {1995}
month = {Dec}
}