The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism - INSPIRE

DataBETA

The hybrid Seiberg-Witten map, its $\theta$ -exact expansion and the antifield formalism

C.P. Martin
(
- Madrid U.
)
,
David G. Navarro
(
- Madrid U.
)

Apr 23, 2015

16 pages

Published in:

Phys.Rev.D 92 (2015) 6, 065026

Published: Sep 24, 2015

e-Print:

1504.06168 [hep-th]

DOI:

10.1103/PhysRevD.92.065026

Report number:

FTI-UCM-37-2015

View in:

reference search9 citations

Citations per year

Abstract: (APS)

We deduce an evolution equation for an arbitrary hybrid Seiberg-Witten map for compact gauge groups by using the antifield formalism. We show how this evolution equation can be used to obtain the hybrid Seiberg-Witten map as an expansion, which is θ-exact, in the number of ordinary fields. We compute explicitly this expansion up to order three in the number of ordinary gauge fields and then particularize it to case of the Higgs of the noncommutative standard model.

Note:

27 pages, no figures; typos corrected

11.10.Nx
12.10.-g
11.15.-q
Seiberg-Witten map
hybrid
evolution equation
antifield
gauge field theory
noncommutative
Yukawa

References(51)

Figures(0)

[1]

String theory and noncommutative geometry

- JHEP 09 (1999) 032,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 327-401
•
e-Print:
- hep-th/9908142
•
DOI:
- 10.1088/1126-6708/1999/09/032

[2]

Gauge theory on noncommutative spaces

John Madore
(
- Orsay, LPT and
- Munich, Max Planck Inst.
)
,
Stefan Schraml
(
- Munich, Max Planck Inst. and
- Munich U.
)
,
Peter Schupp
(
- Munich U.
)
,
Julius Wess
(
- Munich, Max Planck Inst. and
- Munich U.
)

- Eur.Phys.J.C 16 (2000) 161-167
•
e-Print:
- hep-th/0001203
•
DOI:
- 10.1007/s100520050012

[3]

Enveloping algebra valued gauge transformations for nonAbelian gauge groups on noncommutative spaces

Branislav Jurco
(
- Bonn, Max Planck Inst., Math.
)
,
Stefan Schraml
(
- Munich, Max Planck Inst. and
- Munich U.
)
,
Peter Schupp
(
- Munich U.
)
,
Julius Wess
(
- Munich, Max Planck Inst. and
- Munich U.
)

- Eur.Phys.J.C 17 (2000) 521-526
•
e-Print:
- hep-th/0006246
•
DOI:
- 10.1007/s100520000487

[4]

Construction of nonAbelian gauge theories on noncommutative spaces

Branislav Jurco
(
- Munich U.
)
,
Lutz Moller
(
- Munich U. and
- Munich, Max Planck Inst. and
- Humboldt U., Berlin
)
,
Stefan Schraml
(
- Munich U. and
- Humboldt U., Berlin
)
,
Peter Schupp
(
- Munich U.
)
,
Julius Wess
(
- Munich U. and
- Munich, Max Planck Inst. and
- Humboldt U., Berlin
)

- Eur.Phys.J.C 21 (2001) 383-388
•
e-Print:
- hep-th/0104153
•
DOI:
- 10.1007/s100520100731

[5]

Noncommutative standard modelling

Valentin V. Khoze
(
- Durham U. and
- Durham U., IPPP
)
,
Jonathan Levell
(
- Durham U. and
- Durham U., IPPP
)

- JHEP 09 (2004) 019
•
e-Print:
- hep-th/0406178
•
DOI:
- 10.1088/1126-6708/2004/09/019

[6]

The Standard model on noncommutative space-time

X. Calmet
(
- Munich U.
)
,
B. Jurco
(
- Munich U.
)
,
P. Schupp
(
- Munich U.
)
,
J. Wess
(
- Munich U. and
- Munich, Max Planck Inst.
)
,
M. Wohlgenannt
(
- Munich U.
)

- Eur.Phys.J.C 23 (2002) 363-376
•
e-Print:
- hep-ph/0111115
•
DOI:
- 10.1007/s100520100873

[7]

K ---> pi gamma decay and space-time noncommutativity

B. Melic
(
- Boskovic Inst., Zagreb
)
,
K. Passek-Kumericki
(
- Boskovic Inst., Zagreb
)
,
J. Trampetic
(
- Boskovic Inst., Zagreb and
- Munich, Max Planck Inst.
)

- Phys.Rev.D 72 (2005) 057502
•
e-Print:
- hep-ph/0507231
•
DOI:
- 10.1103/PhysRevD.72.057502

[8]

Probing the noncommutative standard model at hadron colliders

- Phys.Rev.D 74 (2006) 096004
•
e-Print:
- hep-ph/0608155
•
DOI:
- 10.1103/PhysRevD.74.096004

[9]

Nonzero $Z \to \gamma \gamma$ decays in the renormalizable gauge sector of the noncommutative standard model

M. Buric
(
- Belgrade U.
)
,
D. Latas
(
- Belgrade U.
)
,
V. Radovanovic
(
- Belgrade U.
)
,
J. Trampetic
(
- Boskovic Inst., Zagreb
)

- Phys.Rev.D 75 (2007) 097701
•
e-Print:
- hep-ph/0611299
•
DOI:
- 10.1103/PhysRevD.75.097701

[10]

Noncommutative fermions and quarkonia decays

Carlos Tamarit
(
- Madrid U.
)
,
Josip Trampetic
(
- Boskovic Inst., Zagreb
)

- Phys.Rev.D 79 (2009) 025020
•
e-Print:
- 0812.1731
•
DOI:
- 10.1103/PhysRevD.79.025020

[11]

Enveloping algebra Noncommutative SM: Renormalisability and High Energy Physics Phenomenology

Josip Trampetic
(
- Boskovic Inst., Zagreb
)

•
e-Print:
- 0901.1265

[12]

Location and Direction Dependent Effects in Collider Physics from Noncommutativity

Mansour Haghighat
(
- Alabama U. and
- Isfahan Tech. U.
)
,
Nobuchika Okada
(
- Alabama U.
)
,
Allen Stern
(
- Alabama U.
)

- Phys.Rev.D 82 (2010) 016007
•
e-Print:
- 1006.1009
•
DOI:
- 10.1103/PhysRevD.82.016007

[13]

Higgsstrahlung and pair production in $e^{+}e^{-}$ collision in the noncommutative standard model

- Phys.Rev.D 84 (2011) 045012
•
e-Print:
- 1105.0252
•
DOI:
- 10.1103/PhysRevD.84.045012

[14]

Single top quark production in $t$ -channel at the LHC in Noncommutative Space-Time

Seyed Yaser Ayazi
(
- IPM, Tehran
)
,
Sina Esmaeili
(
- Islamic Azad U.
)
,
Mojtaba Mohammadi-Najafabadi
(
- IPM, Tehran
)

- Phys.Lett.B 712 (2012) 93-96
•
e-Print:
- 1202.2505
•
DOI:
- 10.1016/j.physletb.2012.04.063

[15]

Lorentz violation in the Higgs sector and the noncommutative standard model

S. Aghababaei
(
- Isfahan Tech. U.
)
,
M. Haghighat
(
- Isfahan Tech. U.
)
,
A. Kheirandish
(
- Isfahan Tech. U. and
- Wisconsin U., Madison
)

- Phys.Rev.D 87 (2013) 4, 047703
•
e-Print:
- 1302.5023
•
DOI:
- 10.1103/PhysRevD.87.047703

[16]

Higgs production in $e^{-}e^{+}$ collisions as a probe of noncommutativity

M. Ghasemkhani
(
- Shahid Beheshti U. and
- IPM, Tehran
)
,
R. Goldouzian
(
- IPM, Tehran
)
,
H. Khanpour
(
)
,
M. Khatiri Yanehsari
(
- IPM, Tehran and
- Ferdowsi U.
)
,
M. Mohammadi Najafabadi
(
- IPM, Tehran
)

- PTEP 2014 (2014) 081B01
•
e-Print:
- 1407.3167
•
DOI:
- 10.1093/ptep/ptu110

[17]

Production of $\Sigma(1385)^{\pm}$ and $\Xi(1530)^{0}$ in proton-proton collisions at $\sqrt{s}=$ 7 TeV

ALICE

Collaboration

•

Betty Bezverkhny Abelev
(
- LLNL, Livermore
)

et al.

- Eur.Phys.J.C 75 (2015) 1, 1
•
e-Print:
- 1406.3206
•
DOI:
- 10.1140/epjc/s10052-014-3191-x

[17]

Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time

M. Haghighat
(
- Isfahan Tech. U.
)
,
M. Khorsandi
(
- Isfahan Tech. U.
)

- Eur.Phys.J.C 75 (2015) 1, 4
•
e-Print:
- 1410.0836
•
DOI:
- 10.1140/epjc/s10052-014-3235-2

[18]

Photon propagation in noncommutative QED with constant external field

R. Fresneda
(
- ABC Federal U.
)
,
D.M. Gitman
(
- Tomsk State U. and
- Lebedev Inst. and
- Sao Paulo U.
)
,
A.E. Shabad
(
- Lebedev Inst. and
- Tomsk State U.
)

- Phys.Rev.D 91 (2015) 8, 085005
•
e-Print:
- 1501.04987
•
DOI:
- 10.1103/PhysRevD.91.085005

[19]

Noncommutative GUTs, standard model and C,P,T

Paolo Aschieri
(
- Munich U.
)
,
Branislav Jurco
(
- Munich U.
)
,
Peter Schupp
(
- Munich U.
)
,
Julius Wess
(
- Munich U. and
- Munich, Max Planck Inst.
)

- Nucl.Phys.B 651 (2003) 45-70
•
e-Print:
- hep-th/0205214
•
DOI:
- 10.1016/S0550-3213(02)00937-9

[20]

The Minimal and the New Minimal Supersymmetric Grand Unified Theories on Noncommutative Space-time

C.P. Martin
(
- UCM, Somosaguas
)

- Class.Quant.Grav. 30 (2013) 155019
•
e-Print:
- 1302.3732
•
DOI:
- 10.1088/0264-9381/30/15/155019

[21]

SO(10) GUTs with large tensor representations on Noncommutative Space-time

C.P. Martin
(
- Madrid U.
)

- Phys.Rev.D 89 (2014) 6, 065018
•
e-Print:
- 1311.2826
•
DOI:
- 10.1103/PhysRevD.89.065018

[22]

Second order noncommutative corrections to gravity

Xavier Calmet
(
- Brussels U.
)
,
Archil Kobakhidze
(
- North Carolina U.
)

- Phys.Rev.D 74 (2006) 047702
•
e-Print:
- hep-th/0605275
•
DOI:
- 10.1103/PhysRevD.74.047702

[23]

Seiberg-Witten maps for SO(1,3) gauge invariance and deformations of gravity

S. Marculescu
(
- Siegen U.
)
,
F. Ruiz Ruiz
(
- Madrid U.
)

- Phys.Rev.D 79 (2009) 025004
•
e-Print:
- 0808.2066
•
DOI:
- 10.1103/PhysRevD.79.025004

[24]

Noncommutative gravity coupled to fermions: second order expansion via Seiberg-Witten map

- JHEP 07 (2012) 184
•
e-Print:
- 1111.4822
•
DOI:
- 10.1007/JHEP07(2012)184

1-25 of 51
1
2
3
25 / page