Noncompact pure gauge QED in 3-D is free - INSPIRE

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Noncompact pure gauge QED in 3-D is free

Tim R. Morris
(
- Southampton U.
)

Mar, 1995

11 pages

Published in:

Phys.Lett.B 357 (1995) 225-231

e-Print:

hep-th/9503225 [hep-th]

DOI:

10.1016/0370-2693(95)00913-6

Report number:

SHEP-95-07

View in:

ADS Abstract Service

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Abstract:

For all Poincar\'e invariant Lagrangians of the form

{\cal L}\equiv f(F_{\mu\nu})

, in three Euclidean dimensions, where

f

is any invariant function of a non-compact

U(1)

field strength

F_{\mu\nu}

, we find that the only continuum limit is that of free field theory: First we approximate a gauge invariant version of Wilson's renormalization group by neglecting all higher derivative terms

\sim \partial~nF

in

{\cal L}

, but allowing for a general non-vanishing anomalous dimension. Then we prove analytically that the resulting flow equation has only one acceptable fixed point: the Gaussian fixed point. The possible relevance to high-

T_c

superconductivity is briefly discussed.

Note:

Plain tex, uses harvmac. Report-no: SHEP 95-07

quantum electrodynamics: noncompact
field theory: Euclidean
dimension: 3
path integral
field theory: action
renormalization group
scaling: violation
invariance: Becchi-Rouet-Stora

References(32)

Figures(0)

Spontaneous Symmetry Breaking in Scale Invariant Quantum Electrodynamics

Chung Ngoc Leung
(
- Purdue U.
)
,
S.T. Love
(
- Purdue U.
)
,
William A. Bardeen
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Nucl.Phys.B 273 (1986) 649-662
•
DOI:
- 10.1016/0550-3213(86)90382-2

- Nucl.Phys.B 371 731

Compact Gauge Fields and the Infrared Catastrophe

Alexander M. Polyakov
(
- Landau Inst.
)

- Phys.Lett.B 59 (1975) 82-84,
•
DOI:
- 10.1016/0370-2693(75)90162-8

Gauge theory of high temperature superconductors and strongly correlated Fermi systems

G. Baskaran
(
- Princeton U.
)
,
Philip W. Anderson
(
- Princeton U.
)

- Phys.Rev.B 37 (1988) 580-583
•
DOI:
- 10.1103/PhysRevB.37.580

Gauge field, Aharonov-Bohm flux, and high-Tc superconductivity

Patrick A. Lee
(
- MIT
)

- Phys.Rev.Lett. 63 (1989) 680-683
•
DOI:
- 10.1103/PhysRevLett.63.680

Gapless fermions and gauge fields in dielectrics

L.B. Ioffe
(
- Landau Inst.
)
,
A.I. Larkin
(
- Landau Inst.
)

- Phys.Rev.B 39 (1989) 8988-8999
•
DOI:
- 10.1103/PhysRevB.39.8988

Gauge theories of high- $T_c$ , superconductors

Boris Blok
(
- Santa Barbara, KITP
)
,
Hartmut Monien
(
- Santa Barbara, KITP
)

- Phys.Rev.B 47 (1993) 3454-3456
•
DOI:
- 10.1103/PhysRevB.47.3454

Non-Fermi-liquid behavior in quantum critical systems

Junwu Gan
(
- British Columbia U.
)
,
Eugene Wong
(
- British Columbia U.
)

- Phys.Rev.Lett. 71 (1993) 4226-4229
•
e-Print:
- cond-mat/9309044
•
DOI:
- 10.1103/PhysRevLett.71.4226

NonFermi liquid fixed point in (2+1)-dimensions

- Nucl.Phys.B 417 (1994) 359-373
•
e-Print:
- cond-mat/9312086
•
DOI:
- 10.1016/0550-3213(94)90477-4

Effective action of magnetic monopole in three dimensional electrodynamics with massless matter and gauge theories of superconductivity

S.Yu. Khlebnikov
(
- UCLA
)

- Phys.Rev.B 50 (1994) 6954
•
e-Print:
- hep-ph/9311229
•
DOI:
- 10.1103/PhysRevB.50.6954

Low-energy dynamics of the spinon gauge system

Joseph Polchinski
(
- Santa Barbara, KITP and
- Texas U.
)

- Nucl.Phys.B 422 (1994) 617-633
•
e-Print:
- cond-mat/9303037
•
DOI:
- 10.1016/0550-3213(94)90449-9

Transverse Gauge Interactions and the Vanquished Fermi Liquid

- Phys.Rev.Lett. 74 (1995) 8, 1423
•
DOI:
- 10.1103/PhysRevLett.74.1423

Low-energy properties of fermions with singular interactions

B.L. Altshuler
(
- MIT
)
,
L.B. Ioffe
(
- Rutgers U., Piscataway and
- Landau Inst.
)
,
A.J. Millis
(
- Bell Labs
)

- Phys.Rev.B 50 (1994) 14048-14064
•
e-Print:
- cond-mat/9406024
•
DOI:
- 10.1103/PhysRevB.50.14048

Renormalization group equation for critical phenomena

- Phys.Rev.A 8 (1973) 401-412
•
DOI:
- 10.1103/PhysRevA.8.401

Liquid-State Theory for Critical Phenomena

A. Parola
(
- Parma U. and
- INFN, Parma
)
,
L. Reatto
(
- Parma U. and
- INFN, Parma
)

- Phys.Rev.Lett. 53 (1984) 2417-2420
•
DOI:
- 10.1103/PhysRevLett.53.2417

- J.Phys.C 19 5071

- Nucl.Phys.B 270 685

- Commun.Math.Phys. 111 101

The Renormalization group and two-dimensional multicritical effective scalar field theory

Tim R. Morris
(
- CERN
)

- Phys.Lett.B 345 (1995) 139-148
•
e-Print:
- hep-th/9410141
•
DOI:
- 10.1016/0370-2693(94)01603-A

On truncations of the exact renormalization group

Tim R. Morris
(
- CERN
)

- Phys.Lett.B 334 (1994) 355-362
•
e-Print:
- hep-th/9405190
•
DOI:
- 10.1016/0370-2693(94)90700-5

Running gauge coupling in three-dimensions and the electroweak phase transition

M. Reuter
(
- DESY
)
,
C. Wetterich
(
- Heidelberg U.
)

- Nucl.Phys.B 408 (1993) 91-132
•
DOI:
- 10.1016/0550-3213(93)90134-B

Effective average action for gauge theories and exact evolution equations

M. Reuter
(
- DESY
)
,
C. Wetterich
(
- Heidelberg U.
)

- Nucl.Phys.B 417 (1994) 181-214
•
DOI:
- 10.1016/0550-3213(94)90543-6

Exact evolution equation for scalar electrodynamics

M. Reuter
(
- DESY
)
,
C. Wetterich
(
- Heidelberg U.
)

- Nucl.Phys.B 427 (1994) 291-324
•
DOI:
- 10.1016/0550-3213(94)90278-X

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

Renormalization of Gauge Theories Using Effective Lagrangians. 2.

Brian J. Warr
(
- Caltech
)

- Annals Phys. 183 (1988) 59
•
DOI:
- 10.1016/0003-4916(88)90246-1

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