Testing the fixed point QCD action and the construction of chiral currents

We present the first set of quenched QCD measurements using the recently parametrized fixed-point Dirac operator D^FP. We also give a general and practical construction of covariant densities and conserved currents for chiral lattice actions. The measurements include (a) hadron spectroscopy, (b) corrections of small chiral deviations, (c) the renormalized quark condensate from finite-size scaling and, independently, spectroscopy, (d) the topological susceptibility, (e) small eigenvalue distributions and random matrix theory, and (f) local chirality of near-zero modes and instanton-dominance.

Note:

50 pages, 19 figures: misprints corrected, discussion on covariant densities extended, new appendix added Report-no: BUTP/02/5, UCSD/PTH 02-04

gauge field theory: SU(3)
fermion: lattice field theory
lattice field theory: action
approximation: quenching
operator: Dirac
fixed point
current: conservation law
hadron spectroscopy
quark: condensation
scaling: finite size

References(127)

Figures(20)

Light hadron spectrum and quark masses

T. Kaneko
(
- KEK, Tsukuba
)

- Nucl.Phys.B Proc.Suppl. 106 (2002) 133-141
•
e-Print:
- hep-lat/0111005
•
DOI:
- 10.1016/S0920-5632(01)01652-8

Quark masses on the lattice: Light and heavy

V. Lubicz
(
- Rome III U. and
- INFN, ROME
)

- Nucl.Phys.B Proc.Suppl. 94 (2001) 116-129,
•
e-Print:
- hep-lat/0012003
•
DOI:
- 10.1016/S0920-5632(01)00963-X

Heavy quark physics from lattice QCD

Sinead M. Ryan
(
- Trinity Coll., Dublin
)

- Nucl.Phys.B Proc.Suppl. 106 (2002) 86-97
•
e-Print:
- hep-lat/0111010
•
DOI:
- 10.1016/S0920-5632(01)01647-4

Lattice QCD at finite temperature and density

Frithjof Karsch
(
- Bielefeld U.
)

- Nucl.Phys.B Proc.Suppl. 83 (2000) 14-23
•
e-Print:
- hep-lat/9909006
•
DOI:
- 10.1016/S0920-5632(00)91591-3

Light hadron weak matrix elements

Laurent Lellouch
(
- Marseille, CPT
)

- Nucl.Phys.B Proc.Suppl. 94 (2001) 142-158,
•
e-Print:
- hep-lat/0011088
•
DOI:
- 10.1016/S0920-5632(01)00968-9

Unexpected results in asymptotically free quantum field theories

Peter Hasenfratz
(
- Bern U.
)
,
Ferenc Niedermayer
(
- Bern U.
)

- Nucl.Phys.B 596 (2001) 481-494
•
e-Print:
- hep-lat/0006021
•
DOI:
- 10.1016/S0550-3213(00)00696-9

Asymptotic freedom with discrete spin variables?

Peter Hasenfratz
(
- Bern U.
)
,
Ferenc Niedermayer
(
- Bern U.
)

- PoS HEP2001 (2001) 229
•
e-Print:
- hep-lat/0112003
•
DOI:
- 10.22323/1.007.0229

Nonstandard cutoff effects in the nonlinear sigma model

Martin Hasenbusch
(
- NIC, Zeuthen and
- DESY, Zeuthen
)
,
Peter Hasenfratz
(
- Bern U.
)
,
Ferenc Niedermayer
(
- Bern U.
)
,
Bernhard Seefeld
(
- Bern U.
)
,
Ulli Wolff
(
- Humboldt U., Berlin
)

- Nucl.Phys.B Proc.Suppl. 106 (2002) 911-913
•
e-Print:
- hep-lat/0110202
•
DOI:
- 10.1016/S0920-5632(01)01883-7

Absence of Neutrinos on a Lattice. 1. Proof by Homotopy Theory

Holger Bech Nielsen
(
- Bohr Inst. and
- Nordita
)
,
M. Ninomiya
(
- Rutherford
)

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