Neutron electric dipole moment with external electric field method in lattice QCD

Shintani, E.; Aoki, S.; Ishizuka, N.; Kanaya, K.; Kikukawa, Y.; Kuramashi, Y.; Okawa, M.; Ukawa, A.; Yoshie, T.

doi:10.1103/PhysRevD.75.034507

Neutron electric dipole moment with external electric field method in lattice QCD

E. Shintani
(
- Tsukuba U., GSPAS and
- Tsukuba U.
)
,
S. Aoki
(
- Tsukuba U., GSPAS and
- Tsukuba U. and
- Brookhaven
)
,
N. Ishizuka
(
- Tsukuba U., GSPAS and
- Tsukuba U. and
- Tsukuba U., CCS
)
,
K. Kanaya
(
- Tsukuba U., GSPAS and
- Tsukuba U.
)
,
Y. Kikukawa
(
- Tokyo U.
)

Nov, 2006

51 pages

Published in:

Phys.Rev.D 75 (2007) 034507

e-Print:

hep-lat/0611032 [hep-lat]

DOI:

10.1103/PhysRevD.75.034507

Report number:

UTHEP-533,
UTCCS-P-29

View in:

pdf

reference search75 citations

Citations per year

Abstract:

We discuss a possibility that the Neutron Electric Dipole Moment (NEDM) can be calculated in lattice QCD simulations in the presence of the CP violating

\theta

term. In this paper we measure the energy difference between spin-up and spin-down states of the neutron in the presence of an uniform and static external electric field. We first test this method in quenched QCD with the RG improved gauge action on a

16^3\times 32

lattice at

a^{-1}\simeq

2 GeV, employing two different lattice fermion formulations, the domain-wall fermion and the clover fermion for quarks, at relatively heavy quark mass

(m_{PS}/m_V \simeq 0.85)

. We obtain non-zero values of NEDM from calculations with both fermion formulations. We next consider some systematic uncertainties of our method for NEDM, using

24^3\times 32

lattice at the same lattice spacing only with the clover fermion. We finally investigate the quark mass dependence of NEDM and observe a non-vanishing behavior of NEDM toward the chiral limit. We interpret this behavior as a manifestation of the pathology in the quenched approximation.

12.38.Gc
12.39.Fe
11.15.Ha
11.30.Er
n: electric moment
electric field: external field
lattice field theory
quantum chromodynamics
CP: violation
Theta parameter

References(44)

Figures(0)

CP Violation in the Renormalizable Theory of Weak Interaction

Makoto Kobayashi
(
- Kyoto U.
)
,
Toshihide Maskawa
(
- Kyoto U.
)

- Prog.Theor.Phys. 49 (1973) 652-657,
- Also in *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 218-223.
•
DOI:
- 10.1143/PTP.49.652

New experimental limit on the electric dipole moment of the neutron

et al.

- Phys.Rev.Lett. 82 (1999) 904-907
•
DOI:
- 10.1103/PhysRevLett.82.904

Schiff moment of the mercury nucleus and the proton dipole moment

V.F. Dmitriev
(
- Novosibirsk, IYF and
- Novosibirsk State U.
)
,
R.A. Sen'kov
(
- Novosibirsk, IYF and
- Novosibirsk State U.
)

- Phys.Rev.Lett. 91 (2003) 212303
•
e-Print:
- nucl-th/0306050
•
DOI:
- 10.1103/PhysRevLett.91.212303

A New limit on the permanent electric dipole moment of Hg-199

- Phys.Rev.Lett. 86 (2001) 2505-2508
•
e-Print:
- hep-ex/0012001
•
DOI:
- 10.1103/PhysRevLett.86.2505

Review of particle physics. Particle Data Group

et al.

- Phys.Rev.D 66 (2002) 010001
•
DOI:
- 10.1103/PhysRevD.66.010001

CP Conservation in the Presence of Instantons

R.D. Peccei
(
- Stanford U., ITP
)
,
Helen R. Quinn
(
- Stanford U., ITP
)

- Phys.Rev.Lett. 38 (1977) 1440-1443,
•
DOI:
- 10.1103/PhysRevLett.38.1440

The Strong {CP} Problem

R.D. Peccei
(
- DESY
)

- Adv.Ser.Direct.High Energy Phys. 3 (1989) 503-551,
- IN *JARLSKOG, C. (ED.): CP VIOLATION* 503-551 AND HAMBURG DESY - DESY 88-109 (88,REC.AUG.) 49p
•
DOI:
- 10.1142/9789814503280_0013

Chiral Estimate of the Electric Dipole Moment of the Neutron in Quantum Chromodynamics

- Phys.Lett.B 88 (1979) 123,
- Phys.Lett.B 91 (1980) 487 (erratum)
•
DOI:
- 10.1016/0370-2693(79)90128-X

Chiral Estimate of the Electric Dipole Moment of the Neutron in Quantum Chromodynamics

- Phys.Lett.B 88 (1979) 123,
- Phys.Lett.B 91 (1980) 487 (erratum)
•
DOI:
- 10.1016/0370-2693(79)90128-X

The Dynamics of the Pseudoscalar Mesons at Arbitrary $\Theta$ in Large $N$ Quantum Chromodynamics

P. Di Vecchia
(
- Freie U., Berlin
)

- Acta Phys.Austriaca Suppl. 22 (1980) 341-381

Strong CP violation and the neutron electric dipole moment revisited

Sinya Aoki
(
- SUNY, Stony Brook
)
,
Tetsuo Hatsuda
(
- CERN
)

- Phys.Rev.D 45 (1992) 2427-2436
•
DOI:
- 10.1103/PhysRevD.45.2427

Reanalysis of strong CP violating effects in chiral perturbation theory

Hai-Yang Cheng
(
- Taiwan, Inst. Phys.
)

- Phys.Rev.D 44 (1991) 166-174
•
DOI:
- 10.1103/PhysRevD.44.166

Strong CP violation in an effective chiral Lagrangian approach

Antonio Pich
(
- CERN
)
,
Eduardo de Rafael
(
- CERN
)

- Nucl.Phys.B 367 (1991) 313-333
•
DOI:
- 10.1016/0550-3213(91)90019-T

The Theta term in QCD sum rules and the electric dipole moment of the vector meson

Maxim Pospelov
(
- Minnesota U.
)
,
Adam Ritz
(
- Minnesota U.
)

- Nucl.Phys.B 558 (1999) 243-258
•
e-Print:
- hep-ph/9903553
•
DOI:
- 10.1016/S0550-3213(99)00399-5

Theta vacua, QCD sum rules, and the neutron electric dipole moment

Maxim Pospelov
(
- Minnesota U.
)
,
Adam Ritz
(
- Minnesota U.
)

- Nucl.Phys.B 573 (2000) 177-200
•
e-Print:
- hep-ph/9908508
•
DOI:
- 10.1016/S0550-3213(99)00817-2

Theta induced electric dipole moment of the neutron via QCD sum rules

Maxim Pospelov
(
- Minnesota U.
)
,
Adam Ritz
(
- Minnesota U.
)

- Phys.Rev.Lett. 83 (1999) 2526-2529
•
e-Print:
- hep-ph/9904483
•
DOI:
- 10.1103/PhysRevLett.83.2526

- Phys.Rev.Lett. 27 2526

Neutron EDM from electric and chromoelectric dipole moments of quarks

- Phys.Rev.D 63 (2001) 073015
•
e-Print:
- hep-ph/0010037
•
DOI:
- 10.1103/PhysRevD.63.073015

Nucleon electric dipole moments from QCD sum rules

e-Print:
- hep-ph/9905317

Electric dipole moments as probes of new physics

Maxim Pospelov
(
- Guelph U. and
- Perimeter Inst. Theor. Phys. and
- IPP, Canada
)
,
Adam Ritz
(
- CERN
)

- Annals Phys. 318 (2005) 119-169
•
e-Print:
- hep-ph/0504231
•
DOI:
- 10.1016/j.aop.2005.04.002

The Neutron Electric Dipole Moment in Lattice {QCD}

Sinya Aoki
(
- Brookhaven
)
,
Andreas Gocksch
(
- Brookhaven
)

- Phys.Rev.Lett. 63 (1989) 1125,
- Phys.Rev.Lett. 65 (1990) 1172 (erratum),
- Phys. Rev. Lett. 65 (1990) 1172. (Phys. Rev. Lett. 63 (1989) 1125)
•
DOI:
- 10.1103/PhysRevLett.63.1125

The Neutron Electric Dipole Moment in Lattice {QCD}

Sinya Aoki
(
- Brookhaven
)
,
Andreas Gocksch
(
- Brookhaven
)

- Phys.Rev.Lett. 63 (1989) 1125,
- Phys.Rev.Lett. 65 (1990) 1172 (erratum),
- Phys. Rev. Lett. 65 (1990) 1172. (Phys. Rev. Lett. 63 (1989) 1125)
•
DOI:
- 10.1103/PhysRevLett.63.1125

Calculating the neutron electric dipole moment on the lattice

S. Aoki
(
- SUNY, Stony Brook
)
,
A. Gocksch
(
- Brookhaven
)
,
A.V. Manohar
(
- UC, San Diego
)
,
Stephen R. Sharpe
(
- Washington U., Seattle
)

- Phys.Rev.Lett. 65 (1990) 1092-1095
•
DOI:
- 10.1103/PhysRevLett.65.1092

Neutron electric dipole moment from lattice QCD

E. Shintani
(
- Tsukuba U., GSPAS
)
,
S. Aoki
(
- Tsukuba U., GSPAS and
- RIKEN BNL
)
,
N. Ishizuka
(
- Tsukuba U., GSPAS and
- Tsukuba U., RCCP and
- Nagoya U. and
- Hiroshima U.
)
,
K. Kanaya
(
- Tsukuba U., GSPAS and
- Tsukuba U., RCCP and
- Nagoya U. and
- Hiroshima U.
)
,
Y. Kikukawa
(
- Tsukuba U., GSPAS and
- Tsukuba U., RCCP and
- Nagoya U. and
- Hiroshima U.
)

et al.

- Phys.Rev.D 72 (2005) 014504
•
e-Print:
- hep-lat/0505022
•
DOI:
- 10.1103/PhysRevD.72.014504

Neutron electric dipole moment on the lattice

Eigo Shintani
(
- Tsukuba U., GSPAS
)
,
S. Aoki
(
- Tsukuba U., GSPAS and
- RIKEN BNL
)
,
N. Ishizuka
(
- Tsukuba U., GSPAS and
- Tsukuba U., RCCP
)
,
Y. Kuramashi
(
- Tsukuba U., GSPAS and
- Tsukuba U., RCCP
)
,
A. Ukawa
(
- Tsukuba U., GSPAS and
- Tsukuba U., RCCP
)

et al.

- PoS LAT2005 (2006) 128
•
e-Print:
- hep-lat/0509123
•
DOI:
- 10.22323/1.020.0128

1-25 of 44
1
2
25 / page