Dirac Fermions on the Lattice: A Local Approach Without Spectrum Degeneracy

Becher, Peter

doi:10.1016/0370-2693(81)90595-5

Dirac Fermions on the Lattice: A Local Approach Without Spectrum Degeneracy

Peter Becher
(
- Wurzburg U.
)

May, 1981

5 pages

Published in:

Phys.Lett.B 104 (1981) 221-225

Published: 1981

DOI:

10.1016/0370-2693(81)90595-5

Report number:

Print-81-0408 (WURZBURG)

View in:

ADS Abstract Service

reference search52 citations

Citations per year

Abstract: (Elsevier)

We propose a new description of Dirac fermions on the lattice with a local difference approximation of the derivatives, a discrete γ 5 invariance and no degeneracy in the energy-momentum spectrum.

FERMION: LATTICE FIELD THEORY
Dirac equation
LATTICE FIELD THEORY: ENERGY EIGENSTATE
ALGEBRA: CLIFFORD
SYMMETRY: CHIRAL
CURRENT: AXIAL-VECTOR
CHARGE: CONSERVATION LAW
GAUGE FIELD THEORY
CURRENT: VECTOR
MATHEMATICAL METHODS

References(11)

Figures(0)

Confinement of Quarks

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev.D 10 (1974) 2445-2459,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 45-59. ( Phys. Rev. D10 ( 1974) 2445-2459) and Cornell Univ. Ithaca - CLNS-74-262 (74,REC.MAR.) 47p,
•
DOI:
- 10.1103/PhysRevD.10.2445

A Method for Performing Monte Carlo Calculations for Systems with Fermions

D.J. Scalapino
(
- Santa Barbara, KITP
)
,
R.L. Sugar
(
- Santa Barbara, KITP
)

- Phys.Rev.Lett. 46 (1981) 519,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 612-614. ( Phys. Rev. Lett. 46 (1981) 519-521) and Calif. Univ. Santa Barbara - NSF-ITP-80-069 (80,REC.DEC.) 10 P. (011484) (SEE BOOK INDEX)
•
DOI:
- 10.1103/PhysRevLett.46.519

Chiral Symmetry Breaking in Confining Theories

Tom Banks
(
- Tel Aviv U.
)
,
A. Casher
(
- Tel Aviv U.
)

- Nucl.Phys.B 169 (1980) 103-125
•
DOI:
- 10.1016/0550-3213(80)90255-2

Lattice Fermions: Species Doubling, Chiral Invariance, and the Triangle Anomaly

Luuk H. Karsten
(
- Stanford U., ITP
)
,
Jan Smit
(
- Amsterdam U.
)

- Nucl.Phys.B 183 (1981) 103,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 495-532. ( Nucl. Phys. B183 ( 1981) 103-140) and Stanford Univ. - ITP-677 (80,REC.NOV.) 71p
•
DOI:
- 10.1016/0550-3213(81)90549-6

Variational Approach to Strong Coupling Field Theory. 1. Phi**4 Theory

- Phys.Rev.D 14 (1976) 487
•
DOI:
- 10.1103/PhysRevD.14.487

Strong Coupling Field Theories. 2. Fermions and Gauge Fields on a Lattice

- Phys.Rev.D 14 (1976) 1627
•
DOI:
- 10.1103/PhysRevD.14.1627

Quantum Field Theories on a Lattice: Variational Methods for Arbitrary Coupling Strengths and the Ising Model in a Transverse Magnetic Field

- Phys.Rev.D 16 (1977) 1769
•
DOI:
- 10.1103/PhysRevD.16.1769

Axial Symmetry in Lattice Theories

Luuk H. Karsten
(
- Amsterdam U.
)
,
Jan Smit
(
- Amsterdam U.
)

- Nucl.Phys.B 144 (1978) 536-546
•
DOI:
- 10.1016/0550-3213(78)90385-1

The Vacuum Polarization With {SLAC} Lattice Fermions

Luuk H. Karsten
(
- Amsterdam U.
)
,
Jan Smit
(
- Amsterdam U.
)

- Phys.Lett.B 85 (1979) 100-102
•
DOI:
- 10.1016/0370-2693(79)90786-X

Lattice Fermions

Leonard Susskind
(
- Tel Aviv U. and
- Yeshiva U.
)

- Phys.Rev.D 16 (1977) 3031-3039
•
DOI:
- 10.1103/PhysRevD.16.3031

Differential Forms as Spinors

W. Graf
(
- Konstanz U.
)

- Ann.Inst.H.Poincare Phys.Theor. 29 (1978) 85-109,
- Ann.Inst.Henri Poincare 29 (1978) 85-109