Advances in lattice QED

In this talk I shall review recent lattice work on the ultra-violet behavior of QED. Of particular interest is the question whether QED has a non-trivial continuum limit or not.

talk
quantum electrodynamics
lattice field theory
continuum limit
critical phenomena
asymptotic behavior
fermion: condensation
perturbation theory: higher-order
renormalization group: beta function
Dyson-Schwinger equation

References(37)

Figures(0)

Dynamics of Spontaneous Chiral Symmetry Breaking and Continuum Limit in Quantum Electrodynamics

V.A. Miransky
(
- BITP, Kiev
)

- Nuovo Cim.A 90 (1985) 149-170
•
DOI:
- 10.1007/BF02724229

Phase Diagram With Respect to the Coupling Constant and the Local Limit in Quantum Electrodynamics

V.A. Miransky
(
- BITP, Kiev
)

- Sov.Phys.JETP 61 (1985) 905-911,
- Zh.Eksp.Teor.Fiz. 88 (1985) 1514-1526

Dynamical Symmetry Breaking and Particle Mass Generation in Gauge Field Theories

- Riv.Nuovo Cim. 6N5 (1983) 1-90

A New Phase of Quantum Electrodynamics: A Nonperturbative Fixed Point in Four-Dimensions

J.B. Kogut
(
- Illinois U., Urbana
)
,
Elbio Dagotto
(
- Illinois U., Urbana
)
,
A. Kocic
(
- Arizona U.
)

- Phys.Rev.Lett. 60 (1988) 772
•
DOI:
- 10.1103/PhysRevLett.60.772

STRONGLY COUPLED QUENCHED QED

John B. Kogut
(
- Illinois U., Urbana
)
,
E. Dagotto
(
- Illinois U., Urbana
)
,
Aleksandar Kocic
(
- Arizona U.
)

- Nucl.Phys.B 317 (1989) 253-270
•
DOI:
- 10.1016/0550-3213(89)90069-2

A Supercomputer Study of Strongly Coupled {QED}

J.B. Kogut
(
- Illinois U., Urbana
)
,
Elbio Dagotto
(
- Illinois U., Urbana
)
,
Aleksandar Kocic
(
- Arizona U.
)

- Nucl.Phys.B 317 (1989) 271-301
•
DOI:
- 10.1016/0550-3213(89)90070-9

{QED}: A Lattice Investigation of the Chiral Phase Transition and the Nature of the Continuum Limit

M. Gockeler
(
- Aachen, Tech. Hochsch. and
- Julich, NIC
)
,
R. Horsley
(
- Kaiserslautern U. and
- Heidelberg U.
)
,
E. Laermann
(
- Julich, NIC and
- Wuppertal U.
)
,
Paul E.L. Rakow
(
- DESY
)
,
G. Schierholz
(
- Julich, NIC and
- DESY
)

et al.

- Nucl.Phys.B 334 (1990) 527-558
•
DOI:
- 10.1016/0550-3213(90)90490-5

The Phase Diagram of the Gauge Invariant {Nambu-Jona-Lasinio} Model

- Phys.Lett.B 228 (1989) 115-120
•
DOI:
- 10.1016/0370-2693(89)90535-2

A New Approach to the Chiral Transition in Lattice {QED}

Alan M. Horowitz
(
- Kaiserslautern U.
)

- Phys.Lett.B 244 (1990) 306-310
•
DOI:
- 10.1016/0370-2693(90)90076-I

Chiral symmetry breaking dynamics through unquenched SD and BS equations

Kei-ichi Kondo
(
- Chiba U.
)

- Nagoya SCGT 90:233-248

Renormalization group flow in QED

Paul E.L. Rakow
(
- DESY
)

- Nagoya SCGT 90:0249-257

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

Aspects of Dynamical Symmetry Breaking in Gauge Field Theories

- Nucl.Phys.B 323 (1989) 493-512
•
DOI:
- 10.1016/0550-3213(89)90121-1

Absence of screening in certain lattice gauge and plasma models

D.C. Brydges
(
- Virginia U.
)
,
E. Seiler
(
- Munich, Max Planck Inst.
)

- J.Statist.Phys. 42 (1986) 405-424
•
DOI:
- 10.1007/BF01127718

First Order Phase Transition in Compact Lattice {QED} With Light Fermions

- Phys.Rev.Lett. 59 (1987) 617
•
DOI:
- 10.1103/PhysRevLett.59.617

Linearized lattice QED

Simon Hands
(
- Illinois U., Urbana
)
,
John B. Kogut
(
- Illinois U., Urbana
)
,
John H. Sloan
(
- UC, San Diego
)

- Nucl.Phys.B 344 (1990) 255-282,
- Nucl.Phys.B 352 (1991) 528-528 (erratum)
•
DOI:
- 10.1016/0550-3213(90)90691-6

The Continuum limit of QED: Renormalization group analysis and the question of triviality

M. Gockeler
(
- Aachen, Tech. Hochsch. and
- Julich, NIC
)
,
R. Horsley
(
- Aachen, Tech. Hochsch. and
- Julich, NIC
)
,
E. Laermann
(
- Julich, NIC
)
,
U.J. Wiese
(
- Julich, NIC
)
,
Paul E.L. Rakow
(
- DESY
)

et al.

- Phys.Lett.B 251 (1990) 567-574,
- Phys.Lett.B 256 (1991) 562-562 (erratum)
•
DOI:
- 10.1016/0370-2693(90)90798-B

A REMARK ON THE PERFORMANCE OF GLOBAL MONTE CARLO

QED at strong coupling

G. Schierholz
(
- Julich, NIC and
- DESY
)

- Nagoya SCGT 90:0279-298,
- In *Juelich 1990, Proceedings, Physics at HLRZ* 267-280 and Hamburg DESY - DESY 90-118 (90,rec.Oct.) 20 p

Finite Size, Fermion Mass and $N$ (f) Systematics in Computer Simulations of Quantum Electrodynamics

Elbio Dagotto
(
- Santa Barbara, KITP
)
,
A. Kocic
(
- Arizona U.
)
,
J.B. Kogut
(
- Illinois U., Urbana
)

- Nucl.Phys.B 331 (1990) 500-514,
- Nucl. Phys. B331 (1990) 500-514 and Illinois Univ. Urbana - ILL-(TH)-89-34 (89,rec.Aug.) 27 p
•
DOI:
- 10.1016/0550-3213(90)90217-2

On the Triviality of {QED} With a Large Number of Flavors

Elbio Dagotto
(
- Santa Barbara, KITP
)
,
Aleksandar Kocic
(
- Regensburg U.
)
,
John B. Kogut
(
- Illinois U., Urbana
)

- Phys.Lett.B 232 (1989) 235-239
•
DOI:
- 10.1016/0370-2693(89)91693-6

Scaling Laws and Triviality Bounds in the Lattice phi**4 Theory. 1. One Component Model in the Symmetric Phase

M. Luscher
(
- DESY
)
,
P. Weisz
(
- Hamburg U.
)

- Nucl.Phys.B 290 (1987) 25-60
•
DOI:
- 10.1016/0550-3213(87)90177-5

Charge Screening and an Upper Bound on the Renormalized Charge in Lattice {QED}

Martin Luscher
(
- DESY
)

- Nucl.Phys.B 341 (1990) 341-357
•
DOI:
- 10.1016/0550-3213(90)90183-E

The Renormalized charge and effective Yukawa interactions from lattice QED

Alan M. Horowitz
(
- Heidelberg U. and
- Kaiserslautern U.
)

- Phys.Rev.D 43 (1991) 2461-2464
•
DOI:
- 10.1103/PhysRevD.43.R2461

Renormalization group flow in noncompact lattice QED

Stephen W. de Souza
(
- Edinburgh U.
)
,
Richard D. Kenway
(
- Edinburgh U.
)

- Phys.Lett.B 248 (1990) 423-429
•
DOI:
- 10.1016/0370-2693(90)90315-W

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