Model of supersymmetric quantum field theory with broken parity symmetry

Bender, Carl M.; Milton, Kimball A.

doi:10.1103/PhysRevD.57.3595

Model of supersymmetric quantum field theory with broken parity symmetry

Oct, 1997

20 pages

Published in:

Phys.Rev.D 57 (1998) 3595-3608

e-Print:

hep-th/9710076 [hep-th]

DOI:

10.1103/PhysRevD.57.3595

Report number:

WUHEP-97-15

View in:

pdf

reference search56 citations

Citations per year

Abstract:

Recently, it was observed that self-interacting scalar quantum field theories having a non-Hermitian interaction term of the form

g(i\phi)^{2+\delta}

, where

\delta

is a real positive parameter, are physically acceptable in the sense that the energy spectrum is real and bounded below. Such theories possess PT invariance, but they are not symmetric under parity reflection or time reversal separately. This broken parity symmetry is manifested in a nonzero value for

<\phi>

, even if

\delta

is an even integer. This paper extends this idea to a two-dimensional supersymmetric quantum field theory whose superpotential is

{\cal S}(\phi)=-ig(i\phi)^{1+\delta}

. The resulting quantum field theory exhibits a broken parity symmetry for all

\delta>0

. However, supersymmetry remains unbroken, which is verified by showing that the ground-state energy density vanishes and that the fermion-boson mass ratio is unity.

Note:

20 pages, REVTeX, 11 postscript figures Report-no: WUHEP/97-15

phi**n model
supersymmetry
perturbation theory: delta expansion
parity: violation
regularization: dimensional
energy: ground state

References(22)

Figures(0)

LOGARITHMIC APPROXIMATIONS TO POLYNOMIAL LAGRANGIANS

Carl M. Bender
(
- Imperial Coll., London
)
,
K.A. Milton
(
- Oklahoma U.
)
,
M. Moshe
(
- Kyoto U.
)
,
S.S. Pinsky
(
- Ohio State U.
)
,
L.M. Simmons
(
- Los Alamos
)

- Phys.Rev.Lett. 58 (1987) 2615-2618,
- Phys. Rev. Lett. 58 ( 1987) 2615-2618
•
DOI:
- 10.1103/PhysRevLett.58.2615

Novel Perturbative Scheme in Quantum Field Theory

Carl M. Bender
(
- Washington U., St. Louis
)
,
Kimball A. Milton
(
- Oklahoma U.
)
,
Moshe Moshe
(
- Technion
)
,
Stephen S. Pinsky
(
- Ohio State U.
)
,
L.M. Simmons, Jr.
(
- Los Alamos
)

- Phys.Rev.D 37 (1988) 1472
•
DOI:
- 10.1103/PhysRevD.37.1472

A NEW PERTURBATIVE APPROACH TO NONLINEAR PROBLEMS

Carl M. Bender
(
- Washington U., St. Louis
)
,
Kimball A. Milton
(
- Oklahoma U.
)
,
Stephen S. Pinsky
(
- Ohio State U.
)
,
L.M. Simmons, Jr.
(
- Los Alamos
)

- J.Math.Phys. 30 (1989) 1447
•
DOI:
- 10.1063/1.528326

A New perturbative approach to nonlinear partial differential equations

- J.Math.Phys. 32 (1991) 3031-3038
•
DOI:
- 10.1063/1.529047

- J.Math.Phys. 33 1335

A New Nonperturbative Calculation: Renormalization and the Triviality of $\lambda \phi^4$ in Four-dimensions Field Theory

- Phys.Rev.D 38 (1988) 2526
•
DOI:
- 10.1103/PhysRevD.38.2526

TRIVIALITY OF MONOMIAL HIGGS POTENTIALS

Hing Tong Cho
(
- Oklahoma U. and
- Ohio State U.
)
,
Kimball A. Milton
(
- Oklahoma U. and
- Ohio State U.
)
,
James M. Cline
(
- Ohio State U.
)
,
Stephen S. Pinsky
(
- Ohio State U.
)
,
L.M. Simmons, Jr.
(
- Los Alamos and
- Santa Fe Inst.
)

- Nucl.Phys.B 329 (1990) 574-582
•
DOI:
- 10.1016/0550-3213(90)90071-K

The $\Delta$ Expansion and Local Gauge Invariance

Carl M. Bender
(
- Washington U., St. Louis
)
,
F. Cooper
(
- Brown U. and
- Los Alamos
)
,
K.A. Milton
(
- Ohio State U. and
- Oklahoma U.
)

- Phys.Rev.D 40 (1989) 1354-1355
•
DOI:
- 10.1103/PhysRevD.40.1354

Delta expansion applied to quantum electrodynamics

- Phys.Rev.D 45 (1992) 639-653
•
DOI:
- 10.1103/PhysRevD.45.639

Delta expansion for local gauge theories. 1. A One-dimensional model

Carl M. Bender
(
- Washington U., St. Louis
)
,
Fred Cooper
(
- Los Alamos
)
,
Kimball A. Milton
(
- Oklahoma U.
)
,
Moshe Moshe
(
- Washington U., St. Louis
)
,
Stephen S. Pinsky
(
- Ohio State U.
)

et al.

- Phys.Rev.D 45 (1992) 1248-1260
•
DOI:
- 10.1103/PhysRevD.45.1248

The Delta expansion for local gauge theories. 2. Nonperturbative calculation of the anomaly in the Schwinger model

Carl M. Bender
(
- Washington U., St. Louis
)
,
Kimball A. Milton
(
- Oklahoma U.
)
,
Moshe Moshe
(
- Washington U., St. Louis
)

- Phys.Rev.D 45 (1992) 1261-1275
•
DOI:
- 10.1103/PhysRevD.45.1261

The $\Delta$ Expansion for Stochastic Quantization

Carl M. Bender
(
- Washington U., St. Louis
)
,
F. Cooper
(
- Brown U. and
- Los Alamos
)
,
K.A. Milton
(
- Ohio State U. and
- Oklahoma U.
)

- Phys.Rev.D 39 (1989) 3684-3689
•
DOI:
- 10.1103/PhysRevD.39.3684

Novel perturbation expansion for the Langevin equation

Carl M. Bender
(
- Washington U., St. Louis
)
,
Fred Cooper
(
- Los Alamos
)
,
L.M. Simmons, Jr.
(
- Santa Fe Inst.
)
,
Pinaki Roy
(
- Indian Statistical Inst., Calcutta
)
,
Greg Kilcup
(
- Ohio State U.
)

- J.Statist.Phys. 64 (1991) 395-428
•
DOI:
- 10.1007/BF01057884

HOT DELTA EXPANSION

- Phys.Rev.D 41 (1990) 3269
•
DOI:
- 10.1103/PhysRevD.41.3269

Delta Expansion for a Quantum Field Theory in the Nonperturbative Regime

Carl M. Bender
(
- Washington U., St. Louis
)
,
Kimball A. Milton
(
- Oklahoma U. and
- Ohio State U.
)
,
Stephen S. Pinsky
(
- Ohio State U.
)
,
L.M. Simmons, Jr.
(
- Los Alamos and
- Santa Fe Inst.
)

- J.Math.Phys. 31 (1990) 2722-2725
•
DOI:
- 10.1063/1.528975

A NEW PERTURBATIVE APPROXIMATION APPLIED TO SUPERSYMMETRIC QUANTUM FIELD THEORY

Carl M. Bender
(
- Washington U., St. Louis
)
,
Kimball A. Milton
(
- Oklahoma U.
)
,
Stephen S. Pinsky
(
- Ohio State U.
)
,
L.M. Simmons, Jr.
(
- Arizona U. and
- Los Alamos
)

- Phys.Lett.B 205 (1988) 493-498
•
DOI:
- 10.1016/0370-2693(88)90984-7

A New Perturbative Calculation of the Fermion - Boson Mass Ratio in a Supersymmetric Quantum Field Theory

- Phys.Rev.D 38 (1988) 1310
•
DOI:
- 10.1103/PhysRevD.38.1310

Nonperturbative calculation of symmetry breaking in quantum field theory

- Phys.Rev.D 55 (1997) 3255-3259
•
e-Print:
- hep-th/9608048
•
DOI:
- 10.1103/PhysRevD.55.R3255

A NOTE ON SUPERSYMMETRY BREAKING IN (1+1)-DIMENSIONS

T. Murphy
(
- Dublin Inst.
)
,
L. O'Raifeartaigh
(
- Dublin Inst.
)

- Nucl.Phys.B 218 (1983) 484-492,
- Nucl. Phys. B218 ( 1983) 484-492
•
DOI:
- 10.1016/0550-3213(83)90376-0

Dynamical Breaking of Supersymmetry

Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 188 (1981) 513,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 443-484. (NUCL. PHYS. B188 (1981) 513-554) AND PREPRINT - WITTEN, E. (REC.JUL.81) 72 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(81)90006-7

Analytic continuation of Eigenvalue problems

- Phys.Lett.A 173 (1993) 442-446
•
DOI:
- 10.1016/0375-9601(93)90153-Q

On gauge invariance and vacuum polarization

Julian S. Schwinger
(
- Harvard U.
)

- Phys.Rev. 82 (1951) 664-679,
•
DOI:
- 10.1103/PhysRev.82.664