Geometric Regularization of Gauge Theories

Asorey, Maniel; Falceto, Fernando

doi:10.1016/0550-3213(89)90278-2

Geometric Regularization of Gauge Theories

Maniel Asorey
(
- Harvard U.
)
,
Fernando Falceto
(
- Zaragoza U.
)

Jan 6, 1989

34 pages

Published in:

Nucl.Phys.B 327 (1989) 427

Published: 1989

DOI:

10.1016/0550-3213(89)90278-2

Report number:

HUTP-88/A040,
DFTUZ-17/88

View in:

AMS MathSciNet

reference search39 citations

Citations per year

Abstract: (Elsevier)

A new regularization of gauge theories is introduced in a continuum space-time. The regularization is based on a geometric interpretation of the Yang-Mills functional integral in the covariant formalism. Besides a regularization of the classical action by higher covariant derivatives we introduce a regularization of the functional volume element by means of a strong riemannian metric in the space of gauge orbits M and two families of trace class operators defined in the tangent spaces of M . The conditions for the cancellation of ultraviolet divergences are shown to be independent of the gauge condition. This method opens the possibility of a non-perturbative covariant approach to gauge theories in a continuum space-time.

talk
gauge field theory: SU(N)
n-point function: finite
perturbation theory: higher-order
regularization: geometrical
background gauge
Landau gauge

References(10)

Figures(0)

Spontaneously Broken Gauge Symmetries Part 1: Preliminaries

B.W. Lee
(
- Fermilab and
- SUNY, Stony Brook
)
,
Jean Zinn-Justin
(
- Fermilab and
- SUNY, Stony Brook
)

- Phys.Rev.D 5 (1972) 3121-3137,
- Also in *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 347-363
•
DOI:
- 10.1103/PhysRevD.5.3121

The Pauli-Villars Regularization for Nonabelian Gauge Theories

A.A Slavnov
(
- Steklov Math. Inst., Moscow
)

- Teor.Mat.Fiz. 33 (1977) 210-217
•
DOI:
- 10.1007/BF01036595

Renormalization of Gauge Theories Using Effective Lagrangians. 1.

Brian J. Warr
(
- Caltech
)

- Annals Phys. 183 (1988) 1
•
DOI:
- 10.1016/0003-4916(88)90245-X

Regularized, Continuum {Yang-Mills} Process and {Feynman-Kac} Functional Integral

M. Asorey
(
- Paris U., VI-VII
)
,
P.K. Mitter
(
- Paris U., VI-VII
)

- Commun.Math.Phys. 80 (1981) 43
•
DOI:
- 10.1007/BF01213595

Continuum Regularization of {QCD}

Z. Bern
(
- LBL, Berkeley and
- UC, Berkeley
)
,
M.B. Halpern
(
- LBL, Berkeley and
- UC, Berkeley
)
,
L. Sadun
(
- UC, Berkeley
)
,
Clifford Henry Taubes
(
- UC, Berkeley, Math. Dept.
)

- Phys.Lett.B 165 (1985) 151,
- IN *DAMGAARD, P.H. (ED.), HUEFFEL, H. (ED.): STOCHASTIC QUANTIZATION*, 310-315. (PHYS. LETT. B165 (1985) 151-156) AND LAWRENCE BERKELEY LAB. - LBL-19900 (85,REC.OCT.) 11 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0370-2693(85)90710-5

Continuum Regularization of Quantum Field Theory. 2. Gauge Theory

Z. Bern
(
- LBL, Berkeley and
- UC, Berkeley
)
,
M.B. Halpern
(
- LBL, Berkeley and
- UC, Berkeley
)
,
L. Sadun
(
- UC, Berkeley
)
,
Clifford Henry Taubes
(
- Harvard U.
)

- Nucl.Phys.B 284 (1987) 35
•
DOI:
- 10.1016/0550-3213(87)90026-5

Geometric Regularization of {Yang-Mills} Theory

Manuel Asorey
(
- Zaragoza U.
)
,
Fernando Falceto
(
- Zaragoza U.
)

- Phys.Lett.B 206 (1988) 485-490,
- PHYS. LETT. B206 (1988) 485-490 AND ZARAGOZA UNIV. - DFTUZ-87-17 (87,REC.JUL.88) 12p
•
DOI:
- 10.1016/0370-2693(88)91614-0

The Geometrical Interpretation of the {Faddeev-Popov} Determinant

O. Babelon
(
- Paris U., VI-VII
)
,
C.M. Viallet
(
- Paris U., VI-VII
)

- Phys.Lett.B 85 (1979) 246-248
•
DOI:
- 10.1016/0370-2693(79)90589-6

On the Bundle of Connections and the Gauge Orbit Manifold in {Yang-Mills} Theory

P.K. Mitter
(
- Paris U., VI-VII
)
,
C.M. Viallet
(
- Paris U., VI-VII
)

- Commun.Math.Phys. 79 (1981) 457
•
DOI:
- 10.1007/BF01209307

- Commun.Math.Phys. 67 21