Nonperturbative Method in Field Theory: The Gauge Technique - INSPIRE

DataBETA

Nonperturbative Method in Field Theory: The Gauge Technique

George Thompson
(
- Tasmania U.
)
,
R. Zhang
(
- Tasmania U.
)

1987

5 pages

Published in:

Phys.Rev.D 35 (1987) 631-635

DOI:

10.1103/PhysRevD.35.631

View in:

reference search10 citations

Citations per year

Abstract: (APS)

We present a derivation of the gauge-technique ansatz, which emphasizes the approximations made in regard to the truncation of the Dyson-Schwinger equations. The nonperturbative nature of the method is elucidated. Finally we extend the technique to nongauge settings. This is possible because for fermionic theories which are not necessarily gauge theories Ward identities exist in the infrared limit. To illustrate these features a simple model is solved in the infrared region.

DYSON-SCHWINGER EQUATION
FIELD THEORY: WARD IDENTITY
TWO-POINT FUNCTION
FIELD THEORY: INFRARED PROBLEM

References(17)

Figures(0)

Renormalizable electrodynamics of vector mesons

Abdus Salam
(
- Imperial Coll., London
)

- Phys.Rev. 130 (1963) 1287-1290,
- Also in *Ali, A. (ed.) et al.: Selected papers of Abdus Salam* 124-127
•
DOI:
- 10.1103/PhysRev.130.1287

Renormalizable electrodynamics of scalar and vector mesons. II

- Phys.Rev. 135 (1964) B1398-B1427
•
DOI:
- 10.1103/PhysRev.135.B1398

Modified Perturbation Method for Spinor Electrodynamics

J. Strathdee
(
- Imperial Coll., London
)

- Phys.Rev. 135 (1964) B1428-B1429
•
DOI:
- 10.1103/PhysRev.135.B1428

A Gauge Covariant Approximation to Quantum Electrodynamics

- J.Phys.A 10 (1977) 1049
•
DOI:
- 10.1088/0305-4470/10/6/024

The Gauge Technique

Robert Delbourgo
(
- Tasmania U.
)

- Nuovo Cim.A 49 (1979) 484-496
•
DOI:
- 10.1007/BF02815780

Transverse Vertices in Electrodynamics and the Gauge Technique

Robert Delbourgo
(
- Tasmania U.
)
,
R.B. Zhang
(
- Tasmania U.
)

- J.Phys.A 17 (1984) 3593
•
DOI:
- 10.1088/0305-4470/17/18/027

Introducing Transverse Vertices Into the Gauge Technique

C.N. Parker
(
- Tasmania U.
)

- J.Phys.A 17 (1984) 2873
•
DOI:
- 10.1088/0305-4470/17/14/031

The Gauge Technique and Thirring Models

Robert Delbourgo
(
- Tasmania U.
)
,
George Thompson
(
- Tasmania U.
)

- J.Phys.G 8 (1982) L185
•
DOI:
- 10.1088/0305-4616/8/12/001

SCHWINGER-DYSON EQUATIONS IN TWO-DIMENSIONAL QUANTUM ELECTRODYNAMICS

K. Stam
(
- Groningen U.
)

- J.Phys.G 9 (1983) L229-L232,
- J. Phys. G9 ( 1983) L229-l232
•
DOI:
- 10.1088/0305-4616/9/11/001

The Gauge Technique and Two-dimensional Models

George Thompson
(
- Southampton U.
)

- Phys.Lett.B 131 (1983) 385-389
•
DOI:
- 10.1016/0370-2693(83)90523-3

Nonperturbative Analysis of the Infrared Properties of {QED} in Three-dimensions

M. de Roo
(
- Groningen U.
)
,
K. Stam
(
- Groningen U.
)

- Nucl.Phys.B 246 (1984) 335-353
•
DOI:
- 10.1016/0550-3213(84)90299-2

NONPERTURBATIVE ANALYSIS OF LEADING LOGARITHMS IN THREE-DIMENSIONAL QED

I.D. King
(
- Southampton U.
)
,
George Thompson
(
- Southampton U.
)

- Phys.Rev.D 31 (1985) 2148-2150,
- Phys. Rev. D31 ( 1985) 2148-2150
•
DOI:
- 10.1103/PhysRevD.31.2148

Infrared Behavior of a Gauge Covariant Approximation

- Phys.Lett.B 72 (1977) 96-98
•
DOI:
- 10.1016/0370-2693(77)90071-5

GLUON PROPAGATOR AND TRANSVERSE VERTICES

Rui-bin Zhang
(
- Tasmania U.
)

- Phys.Rev.D 31 (1985) 1512-1514,
- Phys. Rev. D31 ( 1985) 1512-1514
•
DOI:
- 10.1103/PhysRevD.31.1512

A Nonperturbative Calculation of the Infrared Limit of the Axial Gauge Gluon Propagator. 1.

- Nucl.Phys.B 186 (1981) 531-559
•
DOI:
- 10.1016/0550-3213(81)90025-0

Spectral Ansatz in Quantum Electrodynamics. 2. Spectral Functions and Gauge Transformations

H.A. Slim
(
- Groningen U.
)

- Nucl.Phys.B 177 (1981) 172-188
•
DOI:
- 10.1016/0550-3213(81)90269-8

Gauge Covariance and the Gauge Technique

- J.Phys.A 14 (1981) 921
•
DOI:
- 10.1088/0305-4470/14/4/020