Effective light front quantization of scalar field theories and two-dimensional electrodynamics

Prokhvatilov, E.V.; Naus, H.W.L.; Pirner, H.J.

doi:10.1103/PhysRevD.51.2933

Effective light front quantization of scalar field theories and two-dimensional electrodynamics

Jun 14, 1994

15 pages

Published in:

Phys.Rev.D 51 (1995) 2933-2942

e-Print:

hep-ph/9406275 [hep-ph]

DOI:

10.1103/PhysRevD.51.2933

Report number:

HD-TVP-94-7

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Abstract:

We introduce a new method to include condensates in the light-cone Hamiltonian. By using a Gaussian approximation to the ordinary vacuum in a theory close to the light front, we derive an effective Hamiltonian on the light cone, which has new terms reflecting the nontriviality of the vacuum. We demonstrate our method for scalar

\phi~4

-theory and the massive Schwinger model.

field theory: scalar
Schwinger model: massive
massive: Schwinger model
dimension: 2
quantization: light front
Hamiltonian formalism
effective Hamiltonian

References(24)

Figures(0)

Forms of Relativistic Dynamics

Paul A.M. Dirac
(
- Cambridge U.
)

- Rev.Mod.Phys. 21 (1949) 392-399,
- Also in *Noz, M.E. (ed.), Kim, Y.S. (ed.): Special Relativity and Quantum Theory* 219-226
•
DOI:
- 10.1103/RevModPhys.21.392

Quantum field theory on lightlike slabs

- Nuovo Cim.A 66 (1970) 536-554
•
DOI:
- 10.1007/BF02826338

Gauge Fields on the Null Plane

Aharon Casher
(
- Princeton U.
)

- Phys.Rev.D 14 (1976) 452
•
DOI:
- 10.1103/PhysRevD.14.452

On the Light Cone Quantization of Nonabelian Gauge Theory

- Lett.Math.Phys. 5 (1981) 437-444,
- Lett. Math. Phys. 5 ( 1981) 437-444
•
DOI:
- 10.1007/BF02285317

Light front Tamm-Dancoff field theory

Robert J. Perry
(
- Ohio State U.
)
,
Avaroth Harindranath
(
- Ohio State U.
)
,
Kenneth G. Wilson
(
- Ohio State U.
)

- Phys.Rev.Lett. 65 (1990) 2959-2962
•
DOI:
- 10.1103/PhysRevLett.65.2959

Calculation of the meson masses in the light front quantization scheme

- Phys.Atom.Nucl. 56 (1993) 813-825,
- Yad.Fiz. 56N6 (1993) 179-200,
- Yad. Fiz. 56N6 (1993) 179-200

Light front quantization of the Sine-Gordon model

Matthias Burkardt
(
- MIT, LNS
)

- Phys.Rev.D 47 (1993) 4628-4633
•
DOI:
- 10.1103/PhysRevD.47.4628

SOLVING TWO-DIMENSIONAL PHI**4 THEORY BY DISCRETIZED LIGHT FRONT QUANTIZATION

A. Harindranath
(
- Caltech and
- Iowa State U.
)
,
J.P. Vary
(
- Caltech and
- Iowa State U.
)

- Phys.Rev.D 36 (1987) 1141-1147
•
DOI:
- 10.1103/PhysRevD.36.1141

Nonperturbative light cone quantum field theory beyond the tree level

- Z.Phys.C 56 (1992) 415-420
•
DOI:
- 10.1007/BF01565949

Spontaneous symmetry breaking of (1+1)-dimensional phi**4 theory in light front field theory. 2.

Stephen S. Pinsky
(
- Ohio State U.
)
,
Brett van de Sande
(
- Ohio State U.
)

- Phys.Rev.D 49 (1994) 2001-2013
•
e-Print:
- hep-ph/9310330
•
DOI:
- 10.1103/PhysRevD.49.2001

Discretized Light Cone Quantization: The Massless and the Massive Schwinger Model

- Phys.Rev.D 35 (1987) 1493
•
DOI:
- 10.1103/PhysRevD.35.1493

Light Cone Quantized QCD in (1+1)-Dimensions

Kent Hornbostel
(
- SLAC
)
,
Stanley J. Brodsky
(
- SLAC
)
,
Hans Christian Pauli
(
- Heidelberg, Max Planck Inst.
)

- Phys.Rev.D 41 (1990) 3814,
- In *Columbus 1988, Relativistic nuclear many-body physics* 573-589, and SLAC Stanford - SLAC-PUB-4678 (88,rec.Jan.89) 21 p
•
DOI:
- 10.1103/PhysRevD.41.3814

Discretized light cone quantization: Formalism for quantum electrodynamics

Andrew C. Tang
(
- SLAC
)
,
Stanley J. Brodsky
(
- SLAC
)
,
Hans Christian Pauli
(
- Heidelberg, Max Planck Inst.
)

- Phys.Rev.D 44 (1991) 1842-1865
•
DOI:
- 10.1103/PhysRevD.44.1842

Limiting transition to lightlike coordinates in the field theory and qcd hamiltonian. (in russian)

- Sov.J.Nucl.Phys. 49 (1989) 688-692,
- Yad.Fiz. 49 (1989) 1109-1117

Hamiltonian formulation of two-dimensional gauge theories on the light cone

F. Lenz
(
- Erlangen - Nuremberg U. and
- Tokyo U.
)
,
M. Thies
(
- Erlangen - Nuremberg U. and
- Tokyo U.
)
,
K. Yazaki
(
- Erlangen - Nuremberg U. and
- Tokyo U.
)
,
S. Levit
(
- Weizmann Inst.
)

- Annals Phys. 208 (1991) 1-89,
- Ann. Phys. (N.Y.) 208 (1991) 1-89. Also in *Cargese 1989, Proceedings, Hadrons and hadronic matter* 119-166. (see HIGH ENERGY PHYSICS INDEX 29 (1991) No. 7756)
•
DOI:
- 10.1016/0003-4916(91)90342-6

Approximate description of QCD condensates in light cone coordinates

- Sov.J.Nucl.Phys. 47 (1988) 559,
- Yad.Fiz. 47 (1988) 882-883

The Gaussian Effective Potential. 1. Quantum Mechanics

Paul M. Stevenson
(
- Wisconsin U., Madison
)

- Phys.Rev.D 30 (1984) 1712
•
DOI:
- 10.1103/PhysRevD.30.1712

The Gaussian Effective Potential. 2. Lambda phi**4 Field Theory

Paul M. Stevenson
(
- Wisconsin U., Madison and
- Rice U.
)

- Phys.Rev.D 32 (1985) 1389-1408
•
DOI:
- 10.1103/PhysRevD.32.1389

Second Order Phase Transition in $\lambda \phi^4$ in Two-dimensions With Nongaussian Variational Approximation

L. Polley
(
- Oldenburg U.
)
,
U. Ritschel
(
- Oldenburg U.
)

- Phys.Lett.B 221 (1989) 44-48
•
DOI:
- 10.1016/0370-2693(89)90189-5

- Phys.Rev.D 45 8

The Schwinger Model and Its Axial Anomaly

N.S. Manton
(
- UC, Santa Barbara
)

- Annals Phys. 159 (1985) 220-251,
- Ann. Phys. ( N.y.) 159 ( 1985) 220-251
•
DOI:
- 10.1016/0003-4916(85)90199-X

Hamiltonian Formulation of the Schwinger Model: Nonconfinement and Screening of the Charge

Satoshi Iso
(
- Tokyo U.
)
,
Hitoshi Murayama
(
- Tokyo U.
)

- Prog.Theor.Phys. 84 (1990) 142-163
•
DOI:
- 10.1143/PTP.84.142

Basic Representations of Affine Lie Algebras and Dual Resonance Models

I.B. Frenkel
(
- Yale U., Math. Dept.
)
,
V.G. Kac
(
- MIT, LNS
)

- Invent.Math. 62 (1980) 23-66,
- Reprinted in *Goddard, P. (ed.), Olive, D. (ed.): Kac-Moody and Virasoro algebras* 124-167
•
DOI:
- 10.1007/BF01391662

More About the Massive Schwinger Model

Sidney R. Coleman
(
- Harvard U.
)

- Annals Phys. 101 (1976) 239
•
DOI:
- 10.1016/0003-4916(76)90280-3