Refining the proof of planar equivalence - INSPIRE

DataBETA

Refining the proof of planar equivalence

A. Armoni
(
- CERN and
- Swansea U.
)
,
M. Shifman
(
- Minnesota U., Theor. Phys. Inst.
)
,
G. Veneziano
(
- CERN and
- College de France
)

Dec, 2004

15 pages

Published in:

Phys.Rev.D 71 (2005) 045015

e-Print:

hep-th/0412203 [hep-th]

DOI:

10.1103/PhysRevD.71.045015

Report number:

CERN-PH-TH-2004-248,
SWAT-421,
FTPI-MINN-04-33,
UMN-TH-2320-04

View in:

reference search91 citations

Citations per year

Abstract:

We outline a full non-perturbative proof of planar (large-N) equivalence between bosonic correlators in a theory with Majorana fermions in the adjoint representation and one with Dirac fermions in the two-index (anti)symmetric representation. In a particular case (one flavor), this reduces to our previous result - planar equivalence between super-Yang--Mills theory and a non-supersymmetric ``orientifold field theory.'' The latter theory becomes one-flavor massless QCD at N=3.

11.15.Pg
fermion: Majorana
fermion: Dirac
gauge field theory: SU(N)
expansion 1/N

References(19)

Figures(0)

[1]

Exact results in non-supersymmetric large N orientifold field theories

A. Armoni
(
- CERN
)
,
M. Shifman
(
- CERN and
- Minnesota U., Theor. Phys. Inst.
)
,
G. Veneziano
(
- CERN
)

- Nucl.Phys.B 667 (2003) 170-182
•
e-Print:
- hep-th/0302163
•
DOI:
- 10.1016/S0550-3213(03)00538-8

[2]

Some properties of open string theories

Augusto Sagnotti
(
- Rome U., Tor Vergata and
- INFN, Rome
)

•
e-Print:
- hep-th/9509080

[3]

in From Fields to Strings: Circumnavigating Theoretical Physics, M. Shifman, J. Wheater, and A. Vainshtein (eds.) Singapore,), Vol. 1, p. 353

A. Armoni
,
M. Shifman
,
G. Veneziano

[4]

SUSY relics in one flavor QCD from a new 1/N expansion

A. Armoni
(
- CERN
)
,
M. Shifman
(
- CERN and
- Minnesota U., Theor. Phys. Inst.
)
,
G. Veneziano
(
- CERN
)

- Phys.Rev.Lett. 91 (2003) 191601
•
e-Print:
- hep-th/0307097
•
DOI:
- 10.1103/PhysRevLett.91.191601

[5]

QCD quark condensate from SUSY and the orientifold large N expansion

A. Armoni
(
- CERN
)
,
M. Shifman
(
- Minnesota U., Theor. Phys. Inst.
)
,
G. Veneziano
(
- CERN and
- Santa Barbara, KITP
)

- Phys.Lett.B 579 (2004) 384-390
•
e-Print:
- hep-th/0309013
•
DOI:
- 10.1016/j.physletb.2003.10.094

[6]

Orientifold theory dynamics and symmetry breaking

Francesco Sannino
(
- Nordita
)
,
Kimmo Tuominen
(
- Jyvaskyla U. and
- Helsinki Inst. of Phys.
)

- Phys.Rev.D 71 (2005) 051901
•
e-Print:
- hep-ph/0405209
•
DOI:
- 10.1103/PhysRevD.71.051901

[7]

Brane-inspired orientifold field theories

Paolo Di Vecchia
(
- Nordita
)
,
Antonella Liccardo
(
- Naples U. and
- INFN, Naples
)
,
Raffaele Marotta
(
- Naples U. and
- INFN, Naples
)
,
Franco Pezzella
(
- Naples U. and
- INFN, Naples
)

- JHEP 09 (2004) 050
•
e-Print:
- hep-th/0407038
•
DOI:
- 10.1088/1126-6708/2004/09/050

[8]

On methods for extracting exact nonperturbative results in nonsupersymmetric gauge theories

Matthew J. Strassler
(
- Pennsylvania U.
)

e-Print:
- hep-th/0104032

[9]

The Relativistic Point Revisited in the Light of the String Model

R. Casalbuoni
(
- INFN, Florence
)
,
J. Gomis
(
- Barcelona U. and
- GIFT, Spain and
- INFN, Florence
)
,
G. Longhi
(
- Florence U. and
- INFN, Florence
)

- Nuovo Cim.A 24 (1974) 249
•
DOI:
- 10.1007/BF02821992

[9]

The Classical Mechanics for Bose-Fermi Systems

R. Casalbuoni
(
- CERN
)

- Nuovo Cim.A 33 (1976) 389
•
DOI:
- 10.1007/BF02729860

[9]

Path Integral Quantization of Spinning Particles Interacting With Crossed External Electromagnetic Fields

- Nuovo Cim.B 64 (1981) 287-315
•
DOI:
- 10.1007/BF02903290

[9]

Anticommuting Variables, Internal Degrees of Freedom, and the Wilson Loop

- Nucl.Phys.B 180 (1981) 141-156
•
DOI:
- 10.1016/0550-3213(81)90158-9

[10]

A Lagrangian Formulation of the Classical and Quantum Dynamics of Spinning Particles

- Nucl.Phys.B 118 (1977) 76-94
•
DOI:
- 10.1016/0550-3213(77)90364-9

[11]

Field theory without Feynman diagrams: One loop effective actions

Matthew J. Strassler
(
- SLAC
)

- Nucl.Phys.B 385 (1992) 145-184
•
e-Print:
- hep-ph/9205205
•
DOI:
- 10.1016/0550-3213(92)90098-V

[12]

Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings

Eric D'Hoker
(
- UCLA
)
,
Darius G. Gagne
(
- UCLA
)

- Nucl.Phys.B 467 (1996) 272-296
•
e-Print:
- hep-th/9508131
•
DOI:
- 10.1016/0550-3213(96)00125-3

[13]

Worldline path integrals for fermions with general couplings

Eric D'Hoker
(
- UCLA
)
,
Darius G. Gagne
(
- UCLA
)

- Nucl.Phys.B 467 (1996) 297-312
•
e-Print:
- hep-th/9512080
•
DOI:
- 10.1016/0550-3213(96)00126-5

[14]

Aspects of large N gauge theory dynamics as seen by string theory

David J. Gross
(
- Santa Barbara, KITP
)
,
Hirosi Ooguri
(
- Santa Barbara, KITP and
- UC, Berkeley and
- LBL, Berkeley
)

- Phys.Rev.D 58 (1998) 106002
•
e-Print:
- hep-th/9805129
•
DOI:
- 10.1103/PhysRevD.58.106002

[15]

The Cosmological constant and domain walls in orientifold field theories and N = 1 gluodynamics

A. Armoni
(
- CERN
)
,
M. Shifman
(
- CERN and
- Minnesota U., Theor. Phys. Inst.
)

- Nucl.Phys.B 670 (2003) 148-160
•
e-Print:
- hep-th/0303109
•
DOI:
- 10.1016/j.nuclphysb.2003.08.004

[16]

SPONTANEOUS BREAKING OF CHIRAL SYMMETRY FOR REAL FERMIONS AND N=2 SUSY YANG-MILLS THEORY

- Sov.J.Nucl.Phys. 42 (1985) 318,
- Yad.Fiz. 42 (1985) 504-513