General Background Field Calculations With Fermion Fields - INSPIRE

DataBETA

General Background Field Calculations With Fermion Fields

I. Jack
(
- Imperial Coll., London and
- Cambridge U.
)
,
H. Osborn
(
- Cambridge U.
)

Jul, 1984

35 pages

Published in:

Nucl.Phys.B 249 (1985) 472-506

Published: 1985

DOI:

10.1016/0550-3213(85)90088-4

Report number:

DAMTP-84-2

View in:

AMS MathSciNet

reference search128 citations

Citations per year

Abstract: (Elsevier)

Background field calculations including fermion background fields are undertaken to determine one- and two-loop counterterms, and β-functions, for a general vector, scalar, spinor field gauge theory. Dimensional regularisation, and also the dimensional reduction variant, with a non-perturbative treatment of the background fields are used. In the dimensional reduction case two alternative forms are given for the results depending on the precise treatment of ε-scalars.

GAUGE FIELD THEORY: BACKGROUND FIELD
FERMION: BACKGROUND FIELD
FIELD THEORY: SCALAR
FIELD THEORY: SPINOR
SPINOR: FIELD THEORY
FIELD THEORY: VECTOR
RENORMALIZATION: REGULARIZATION
RENORMALIZATION: BETA FUNCTION
FEYNMAN GRAPH: HIGHER-ORDER

References(47)

Figures(0)

Quantum Theory of Gravity. 2. The Manifestly Covariant Theory

Bryce S. DeWitt
(
- Princeton, Inst. Advanced Study and
- North Carolina U.
)

- Phys.Rev. 162 (1967) 1195-1239,
- Also in *Mohapatra, R. N. (ed.), Lai, C. H. (ed.): Gauge Theories Of Fundamental Interactions*, 105-149,
•
DOI:
- 10.1103/PhysRev.162.1195

Quantum Theory of Gravity. 3. Applications of the Covariant Theory

Bryce S. DeWitt
(
- Princeton, Inst. Advanced Study and
- North Carolina U.
)

- Phys.Rev. 162 (1967) 1239-1256,
- Also in *Mohapatra, R. N. (ed.), Lai, C. H. (ed.): Gauge Theories Of Fundamental Interactions*, 149-166,
•
DOI:
- 10.1103/PhysRev.162.1239

Chiral multiloops

J. Honerkamp
(
- CERN
)

- Nucl.Phys.B 36 (1972) 130-140
•
DOI:
- 10.1016/0550-3213(72)90299-4

The Question of invariant renormalizability of the massless Yang-Mills theory in a manifest covariant approach

J. Honerkamp
(
- CERN
)

- Nucl.Phys.B 48 (1972) 269-287
•
DOI:
- 10.1016/0550-3213(72)90063-6

- Teor.Mat.Fiz. 21 1165

The Renormalization in Nonabelian Gauge Theories

R.E. Kallosh
(
- Lebedev Inst.
)

- Nucl.Phys.B 78 (1974) 293-312
•
DOI:
- 10.1016/0550-3213(74)90284-3

Renormalization of Nonabelian Gauge Theories in a Background Field Gauge. 1. Green Functions

H. Kluberg-Stern
(
- Saclay
)
,
J.B. Zuber
(
- Saclay
)

- Phys.Rev.D 12 (1975) 482-488
•
DOI:
- 10.1103/PhysRevD.12.482

Background Field Method Versus Normal Field Theory in Explicit Examples: One Loop Divergences in S Matrix and Green's Functions for Yang-Mills and Gravitational Fields

Marcus T. Grisaru
(
- Brandeis U.
)
,
P. van Nieuwenhuizen
(
- Brandeis U.
)
,
C.C. Wu
(
- Brandeis U.
)

- Phys.Rev.D 12 (1975) 3203
•
DOI:
- 10.1103/PhysRevD.12.3203

Zero Point Oscillations, Local Stability, and the Effective Action

- Phys.Rev.D 22 (1980) 3049
•
DOI:
- 10.1103/PhysRevD.22.3049

Gauge Dependence of the Effective Action

David G. Boulware
(
- Washington U., Seattle
)

- Phys.Rev.D 23 (1981) 389
•
DOI:
- 10.1103/PhysRevD.23.389

Introduction to the Background Field Method

L.F. Abbott
(
- CERN
)

- Acta Phys.Polon.B 13 (1982) 33

THEORY AND RENORMALIZATION OF THE GAUGE INVARIANT EFFECTIVE ACTION

C.F. Hart
(
- Oregon U. and
- Texas U.
)

- Phys.Rev.D 28 (1983) 1993-2006,
- Phys. Rev. D28 ( 1983) 1993-2006
•
DOI:
- 10.1103/PhysRevD.28.1993

An algorithm for the poles at dimension four in the dimensional regularization procedure

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 62 (1973) 444-460
•
DOI:
- 10.1016/0550-3213(73)90263-0

The Background Field Method Beyond One Loop

L.F. Abbott
(
- CERN
)

- Nucl.Phys.B 185 (1981) 189-203
•
DOI:
- 10.1016/0550-3213(81)90371-0

The Background Field Method at Two Loops: A General Gauge {Yang-Mills} Calculation

- Nucl.Phys.B 203 (1982) 413-422
•
DOI:
- 10.1016/0550-3213(82)90321-2

The Background Field Method and the S Matrix

- Nucl.Phys.B 229 (1983) 372-380
•
DOI:
- 10.1016/0550-3213(83)90337-1

Renormalization of Interacting Scalar Field Theories in Curved Space-time

David J. Toms
(
- Imperial Coll., London
)

- Phys.Rev.D 26 (1982) 2713
•
DOI:
- 10.1103/PhysRevD.26.2713

Dimensional Regularization in the Presence of Large Background Fields

M. Luscher
(
- Bern U.
)

- Annals Phys. 142 (1982) 359
•
DOI:
- 10.1016/0003-4916(82)90076-8

Proper Time Renormalization of Multiloop Amplitudes in the Background Field Method. 1. $\phi^4$ Theory

Choon-kyu Lee
(
- Seoul Natl. U.
)

- Nucl.Phys.B 207 (1982) 157-188
•
DOI:
- 10.1016/0550-3213(82)90141-9

The Two Loop Renormalization of the Gauge Coupling and the Scalar Potential for an Arbitrary Renormalizable Field Theory

Ruud van Damme
(
- Utrecht U.
)

- Nucl.Phys.B 227 (1983) 317-348,
- Nucl.Phys.B 244 (1984) 549-549 (erratum)
•
DOI:
- 10.1016/0550-3213(83)90024-X

Most General Two Loop Counterterm for Fermion Free Gauge Theories With Scalar Fields

R.M.J. van Damme
(
- Utrecht U.
)

- Phys.Lett.B 110 (1982) 239-241
•
DOI:
- 10.1016/0370-2693(82)91244-8

- Nucl.Phys.B 203 211

The Background - Field Method and the Renormalization of Nonabelian Gauge Theories in Curved Space-time

David J. Toms
(
- Imperial Coll., London
)

- Phys.Rev.D 27 (1983) 1803
•
DOI:
- 10.1103/PhysRevD.27.1803

One Loop Renormalization in Curved Space-times Using the Background Field Method

Minoru Omote
(
- Tsukuba U.
)
,
Shoichi Ichinose
(
- Tsukuba U.
)

- Phys.Rev.D 27 (1983) 2341
•
DOI:
- 10.1103/PhysRevD.27.2341

Two Loop Background Field Calculations for Arbitrary Background Fields

I. Jack
(
- Cambridge U.
)
,
H. Osborn
(
- Cambridge U.
)

- Nucl.Phys.B 207 (1982) 474-504
•
DOI:
- 10.1016/0550-3213(82)90212-7

1-25 of 47
1
2
25 / page