Conformal Invariance and Gauge Fixing in {QED} - INSPIRE

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Conformal Invariance and Gauge Fixing in {QED}

Dec, 1984

37 pages

Published in:

Phys.Rev.D 32 (1985) 2673

DOI:

10.1103/PhysRevD.32.2673

Report number:

UCLA/84/TEP/18

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Abstract: (APS)

In spite of all the work that has been done over the years on conformal field theories, conformal electrodynamics has remained only partially developed. New results presented here are as follows: on the classical level, a gauge-fixing condition that is consistent with conformal invariance; in quantum electrodynamics, conformally covariant field quantization for massless electrons. In several appendices we treat an alternative method of gauge fixing that involves a complex anomalous conformal degree, electrodynamics in three dimensions, and conformal Liouville theories.

QUANTUM ELECTRODYNAMICS
INVARIANCE: CONFORMAL
INVARIANCE: GAUGE
FERMION: MASSLESS
MASSLESS: FERMION
QUANTIZATION
FIELD THEORY: SCALAR
FIELD THEORY: SPINOR
SPINOR: FIELD THEORY
FIELD THEORY: THREE-DIMENSIONAL

References(27)

Figures(0)

Renormalizable Lagrangians for Massive Yang-Mills Fields

Gerard 't Hooft
(
- Utrecht U.
)

- Nucl.Phys.B 35 (1971) 167-188,
- Also in *Lichtenberg, D. B. ( Ed.), Rosen, S. P. ( Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 171-192, and in *Lai, C.H. (ed.) Gauge Theory of Weak and Electromagnetic Interactions*, 300-321,
•
DOI:
- 10.1016/0550-3213(71)90139-8

Renormalization of Higher Derivative Quantum Gravity

K.S. Stelle
(
- Brandeis U.
)

- Phys.Rev.D 16 (1977) 953-969
•
DOI:
- 10.1103/PhysRevD.16.953

Light Cone Superspace and the Ultraviolet Finiteness of the N=4 Model

Stanley Mandelstam
(
- UC, Berkeley
)

- Nucl.Phys.B 213 (1983) 149-168
•
DOI:
- 10.1016/0550-3213(83)90179-7

The Ultraviolet Finiteness of the N=4 Yang-Mills Theory

- Phys.Lett.B 123 (1983) 323-328
•
DOI:
- 10.1016/0370-2693(83)91210-8

Proof of the Triviality of phi**4 in D-Dimensions Field Theory and Some Mean Field Features of Ising Models for D>4

M. Aizenman
(
- Princeton U.
)

- Phys.Rev.Lett. 47 (1981) 1-4,
- Preprint - AIZENMAN, M. (REC.MAY 81) 10p,
- Phys. Rev. Lett. 47 (1981) 1-4 and Preprint - AIZENMAN, M. (REC.MAY 81) 10p,
- Phys. Rev. Lett. 47 (1981) 886. ( Phys. Rev. Lett. 47 ( 1981) 1)
•
DOI:
- 10.1103/PhysRevLett.47.1

- Proc.Lond.Math.Soc. 8 77

- Compt.Rend.Math. 263 395

Irreducibility of the ladder representations of u(2,2) when restricted to the poincare subgroup

G. Mack
(
- Miami U.
)
,
I. Todorov
(
- Princeton, Inst. Advanced Study
)

- J.Math.Phys. 10 (1969) 2078-2085
•
DOI:
- 10.1063/1.1664804

- Proc.Lond.Math.Soc. 8 223

- J.Math.Pure.Appl. 67 289

- Annals Phys. 61 78

- J.Math.Phys. 17 1112

Asymptotic form of the electron propagator and the selfmass of the electron

M. Baker
(
- Washington U., Seattle
)
,
K. Johnson
(
- MIT, LNS
)

- Phys.Rev.D 3 (1971) 2516-2526
•
DOI:
- 10.1103/PhysRevD.3.2516

Applications of conformal symmetry in quantum electrodynamics

M. Baker
(
- Washington U., Seattle
)
,
K. Johnson
(
- MIT, LNS
)

- Physica A 96 (1979) 1-2, 120-130
•
DOI:
- 10.1016/0378-4371(79)90199-7

Conformal invariance and bootstrap

Alexander A. Migdal
(
- Landau Inst.
)

- Phys.Lett.B 37 (1971) 386-388
•
DOI:
- 10.1016/0370-2693(71)90211-5

Conformal-invariant green functions without ultraviolet divergences

G. Mack
(
- ICTP, Trieste
)
,
I.T. Todorov
(
- ICTP, Trieste
)

- Phys.Rev.D 8 (1973) 1764-1787,
- Phys.Rev.D 6 (1973) 1764-1787
•
DOI:
- 10.1103/PhysRevD.8.1764

Recent Developments in Conformal Invariant Quantum Field Theory

E.S. Fradkin
(
- Lebedev Inst. and
- Novosibirsk, IAE
)
,
M.Ya. Palchik
(
- Lebedev Inst. and
- Novosibirsk, IAE
)

- Phys.Rept. 44 (1978) 249-349
•
DOI:
- 10.1016/0370-1573(78)90172-2

Wave equations in conformal space

Paul A.M. Dirac

- Annals Math. 37 (1936) 429-442
•
DOI:
- 10.2307/1968455

Finite component field representations of the conformal group

G. Mack
(
- Munich U. and
- ICTP, Trieste
)
,
Abdus Salam
(
- ICTP, Trieste
)

- Annals Phys. 53 (1969) 174-202
•
DOI:
- 10.1016/0003-4916(69)90278-4

Massless, Euclidean Quantum Electrodynamics on the Five-Dimensional Unit Hypersphere

Stephen L. Adler
(
- Princeton, Inst. Advanced Study and
- Fermilab
)

- Phys.Rev.D 6 (1972) 3445-3461,
- Phys.Rev.D 7 (1973) 3821 (erratum),
•
DOI:
- 10.1103/PhysRevD.6.3445

MASSLESS ELECTRODYNAMICS ON THE FIVE-DIMENSIONAL UNIT HYPERSPHERE: AN AMPLITUDE - INTEGRAL FORMULATION

Stephen L. Adler

- Phys.Rev.D 8 (1973) 2400-2418,
- Phys.Rev.D 15 (1977) 1803 (erratum)
•
DOI:
- 10.1103/PhysRevD.8.2400

CONFORMAL QED

- J.Math.Phys. 24 (1983) 2828
•
DOI:
- 10.1063/1.525664

A New improved energy - momentum tensor

Curtis G. Callan, Jr.
(
- Princeton, Inst. Advanced Study
)
,
Sidney R. Coleman
(
- Harvard U.
)
,
Roman Jackiw
(
- MIT, LNS
)

- Annals Phys. 59 (1970) 42-73
•
DOI:
- 10.1016/0003-4916(70)90394-5

The Dirac Supermultiplet

Christian Fronsdal
(
- UCLA
)

- Phys.Rev.D 26 (1982) 1988
•
DOI:
- 10.1103/PhysRevD.26.1988

Quantum Field Theory of Singletons: The Rac

M. Flato
(
- Bourgogne U.
)
,
C. Fronsdal
(
- Bourgogne U.
)

- J.Math.Phys. 22 (1981) 1100
•
DOI:
- 10.1063/1.524993

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