Topological content of the electroweak sphaleron on the lattice

3 D electroweak sphalerons on the lattice are used as test configurations for definitions of various topological defects. In the maximally Abelian gauge they are shown to contain a symmetric array of Abelian monopoles and anti-monopoles connected by two kinds of Abelian vortex strings. Gauge-invaria...

Full description

Saved in:
Bibliographic Details
Published inPhysics letters. B Vol. 424; no. 1; pp. 106 - 114
Main Authors Chernodub, M.N, Gubarev, F.V, Ilgenfritz, E.-M
Format Journal Article
LanguageEnglish
Published Elsevier B.V 02.04.1998
Online AccessGet full text

Cover

Abstract 3 D electroweak sphalerons on the lattice are used as test configurations for definitions of various topological defects. In the maximally Abelian gauge they are shown to contain a symmetric array of Abelian monopoles and anti-monopoles connected by two kinds of Abelian vortex strings. Gauge-invariant lattice definitions of the Nambu monopole and the Z-vortex string are formulated which correspond to Abelian projection from the unitary gauge. The sphalerons contain in their core just one (non-Abelian) Nambu monopole–anti-monopole pair (connected by a Z-string) in an unstable saddle point bound state. This provides an example for the monopole-pair unbinding mechanism expected to work at the electroweak phase transition. The definitions of defects developed here will be used in future studies of topological aspects of this transition.
AbstractList 3 D electroweak sphalerons on the lattice are used as test configurations for definitions of various topological defects. In the maximally Abelian gauge they are shown to contain a symmetric array of Abelian monopoles and anti-monopoles connected by two kinds of Abelian vortex strings. Gauge-invariant lattice definitions of the Nambu monopole and the Z-vortex string are formulated which correspond to Abelian projection from the unitary gauge. The sphalerons contain in their core just one (non-Abelian) Nambu monopole–anti-monopole pair (connected by a Z-string) in an unstable saddle point bound state. This provides an example for the monopole-pair unbinding mechanism expected to work at the electroweak phase transition. The definitions of defects developed here will be used in future studies of topological aspects of this transition.
Author Gubarev, F.V
Ilgenfritz, E.-M
Chernodub, M.N
Author_xml – sequence: 1
  givenname: M.N
  surname: Chernodub
  fullname: Chernodub, M.N
  organization: ITEP, B.Cheremushkinskaya 25, 117259 Moscow, Russia
– sequence: 2
  givenname: F.V
  surname: Gubarev
  fullname: Gubarev, F.V
  organization: ITEP, B.Cheremushkinskaya 25, 117259 Moscow, Russia
– sequence: 3
  givenname: E.-M
  surname: Ilgenfritz
  fullname: Ilgenfritz, E.-M
  organization: Institut für Physik, Humboldt-Universität, D-10115 Berlin, Germany
BookMark eNqFUMtKA0EQHCSCSfQThD3qYbXnmd1TkOALAh7MfZh0eszouhNmBsW_dxPFq9DQ0F1VVNWEjfrYE2PnHK44cHP9DHIGtTCtvGibS4DhWKsjNubNTNZCKT1i4z_ICZvk_AoDSoMZs_kq7mIXXwK6rsLYF-pLFX1VtlRRR1hS_CT3VuXd1nWUYl8Ns392rpSAdMqOvesynf3uKVvd3a4WD_Xy6f5xcbOsUQkotZEePQrynoSQEgiUMNI5MEIK5VB43qg1aM05GT3T0EjTbLTGdeslSjll-kcWU8w5kbe7FN5d-rIc7L4EeyjB7hPatrGHEqwaePMfHg3ePgIlmzFQj7QJaQhnNzH8o_ANe-JlOg
CitedBy_id crossref_primary_10_1016_j_physrep_2015_03_002
crossref_primary_10_1016_j_physletb_2006_11_066
crossref_primary_10_1016_S0370_2693_01_00180_0
crossref_primary_10_1016_S0370_2693_01_00881_4
crossref_primary_10_1103_PhysRevD_64_114502
crossref_primary_10_1016_j_physletb_2008_09_031
crossref_primary_10_1016_S0370_2693_98_01347_1
crossref_primary_10_1103_PhysRevD_74_054506
crossref_primary_10_1016_S0920_5632_99_85170_6
crossref_primary_10_1103_PhysRevD_64_054507
crossref_primary_10_1016_j_physletb_2007_07_042
crossref_primary_10_1016_S0920_5632_00_91741_9
crossref_primary_10_1016_S0370_2693_98_00754_0
crossref_primary_10_1103_PhysRevD_63_025003
Cites_doi 10.1016/0550-3213(87)90080-0
10.1016/0370-2693(93)90559-Z
10.1016/0920-5632(94)90360-3
10.1016/0550-3213(74)90486-6
10.1070/PU1996v039n05ABEH000145
10.1103/PhysRevD.49.6109
10.1103/PhysRevD.22.2478
10.1103/PhysRevD.10.4138
10.1016/0550-3213(81)90442-9
10.1103/PhysRevD.50.2819
10.1016/0550-3213(96)00052-1
10.1103/PhysRevLett.69.1867
10.1016/0920-5632(93)90187-B
10.1016/0920-5632(93)90277-D
10.1016/0550-3213(94)00332-7
10.1103/PhysRevD.42.4257
10.1103/PhysRevD.30.2212
10.1016/0550-3213(77)90252-8
10.1103/PhysRevD.28.2019
10.1007/BF01557669
ContentType Journal Article
Copyright 1998
Copyright_xml – notice: 1998
DBID AAYXX
CITATION
DOI 10.1016/S0370-2693(98)00101-4
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 1873-2445
EndPage 114
ExternalDocumentID 10_1016_S0370_2693_98_00101_4
S0370269398001014
GroupedDBID --K
--M
-~X
.~1
0R~
0SF
123
186
1B1
1RT
1~.
1~5
29O
4.4
457
4G.
53G
5VS
6I.
6TJ
7-5
71M
8P~
8WZ
9JN
A6W
AABNK
AACTN
AAEDT
AAEDW
AAFTH
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXUO
AAYJJ
ABFNM
ABLJU
ABMAC
ABNEU
ABXDB
ABYKQ
ACDAQ
ACFVG
ACGFS
ACNCT
ACNNM
ACRLP
ADBBV
ADEZE
ADIYS
ADMUD
AEBSH
AEKER
AENEX
AEXQZ
AFDAS
AFFNX
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AIBLX
AIEXJ
AIKHN
AITUG
AIVDX
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ASPBG
AVWKF
AXJTR
AZFZN
BCNDV
BKOJK
BLXMC
CS3
DU5
EBS
EFJIC
EFLBG
EJD
EO8
EO9
EP2
EP3
ER.
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
G8K
GBLVA
GROUPED_DOAJ
HME
HVGLF
HZ~
IHE
IPNFZ
IXB
J1W
KOM
KQ8
LZ4
M41
MO0
MVM
N9A
NCXOZ
O-L
O9-
OAUVE
OGIMB
OK1
OZT
P-8
P-9
PC.
Q38
R2-
RIG
RNS
ROL
RPZ
SCC
SDF
SDG
SDP
SES
SEW
SHN
SPC
SPCBC
SPD
SSQ
SSZ
T5K
TN5
WH7
WUQ
XJT
ZCG
~G-
AAXKI
AAYXX
ADVLN
AKRWK
CITATION
ID FETCH-LOGICAL-c420t-63fcfc2effe22330e04263aa062324ac2f184b05511e657508368d55cb9f3c33
IEDL.DBID IXB
ISSN 0370-2693
IngestDate Thu Sep 12 16:46:53 EDT 2024
Fri Feb 23 02:27:12 EST 2024
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 1
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c420t-63fcfc2effe22330e04263aa062324ac2f184b05511e657508368d55cb9f3c33
OpenAccessLink http://arxiv.org/pdf/hep-lat/9710011v2.pdf
PageCount 9
ParticipantIDs crossref_primary_10_1016_S0370_2693_98_00101_4
elsevier_sciencedirect_doi_10_1016_S0370_2693_98_00101_4
PublicationCentury 1900
PublicationDate 1998-04-02
PublicationDateYYYYMMDD 1998-04-02
PublicationDate_xml – month: 04
  year: 1998
  text: 1998-04-02
  day: 02
PublicationDecade 1990
PublicationTitle Physics letters. B
PublicationYear 1998
Publisher Elsevier B.V
Publisher_xml – name: Elsevier B.V
References Y. Nambu, Nucl. Phys. B 130 (1977) 505.
A.S. Kronfeld et al., Phys. Lett. B 198 (1987) 516; A.S. Kronfeld, G. Schierholz, U.J. Wiese, Nucl. Phys. B 293 (1987) 461.
F.R. Klinkhamer, N.S. Manton, Phys. Rev. D 30 (1984) 2212.
T. Suzuki, I. Yotsuyanagi, Phys. Rev. D 42 (1990) 4257; G. Bali et al., Phys. Rev. D 54 (1996) 2863.
N.S. Manton, Phys. Rev. D 28 (1983) 2019.
M. Barriola, T. Vachaspati, M. Bucher, Phys. Rev. D 50 (1994) 2819.
G. `t Hooft, Nucl. Phys. B 79 (1974) 276; A.M. Polyakov, JETP Lett. 20 (1974) 194.
V. Bornyakov, R. Grygoryev, Nucl. Phys. B (Proc. Suppl.) 30 (1993) 576.
R.F. Dashen, B. Hasslacher, A. Neveu, Phys. Rev. D 10 (1974) 4138.
A.A. Abrikosov, Sov. Phys. JETP 32 (1957) 1442; H.B. Nielsen, P. Olesen, Nucl. Phys. B 61 (1973) 45.
G.'t Hooft, Nucl. Phys. B 190 [FS3] (1981) 455.
M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov, Nucl. Phys. B (Proc. Suppl.) 34 (1994) 256.
V.G. Bornyakov et al., Z. f. Phys. C 42 (1989) 633.
T.A. DeGrand, D. Toussaint, Phys. Rev. D 22 (1980) 2478.
T. Suzuki, Nucl. Phys. B (Proc. Suppl.) 30 (1993) 176; A. Di Giacomo, Nucl. Phys. B (Proc. Suppl.) 47 (1996) 136; M.I. Polikarpov, Nucl. Phys. B (Proc. Suppl.) 53 (1997) 134.
T. Vachaspati, M. Barriola, Phys. Rev. Lett. 69 (1992) 1867.
M. Teper, Phys. Lett. B 311 (1993) 223.
M. Hindmarsh, M. James, Phys. Rev. D 49 (1994) 6109; M. Hindmarsh, Sintra Electroweak, 1994, p. 195, hep-ph/9408241.
K. Kajantie et al., Nucl. Phys. B 466 (1996) 189; M. Gürtler et al., Nucl. Phys. B 483 (1997) 383; M. Gürtler, E.-M. Ilgenfritz, A. Schiller, Phys. Rev. D 56 (1997) 3888.
M.N. Chernodub, F.V. Gubarev, E.-M. Ilgenfritz, A. Schiller, in preparation.
M. Garcia Perez, private communication.
V.A. Rubakov, M.E. Shaposhnikov, Usp. Fiz. Nauk 166 (1996) 493 (Phys. Usp. 39 (1996) 461).
M. Garcia Perez, P. van Baal, Nucl. Phys. B 429 (1994) 451; M. Garcia Perez, P. van Baal, Nucl. Phys. B 468 (1996) 277.
10.1016/S0370-2693(98)00101-4_BIB3
10.1016/S0370-2693(98)00101-4_BIB4
10.1016/S0370-2693(98)00101-4_BIB5
10.1016/S0370-2693(98)00101-4_BIB6
10.1016/S0370-2693(98)00101-4_BIB7
10.1016/S0370-2693(98)00101-4_BIB8
10.1016/S0370-2693(98)00101-4_BIB9
10.1016/S0370-2693(98)00101-4_BIB13
10.1016/S0370-2693(98)00101-4_BIB12
10.1016/S0370-2693(98)00101-4_BIB23
10.1016/S0370-2693(98)00101-4_BIB15
10.1016/S0370-2693(98)00101-4_BIB14
10.1016/S0370-2693(98)00101-4_BIB20
10.1016/S0370-2693(98)00101-4_BIB1
10.1016/S0370-2693(98)00101-4_BIB11
10.1016/S0370-2693(98)00101-4_BIB22
10.1016/S0370-2693(98)00101-4_BIB2
10.1016/S0370-2693(98)00101-4_BIB10
10.1016/S0370-2693(98)00101-4_BIB21
10.1016/S0370-2693(98)00101-4_BIB17
10.1016/S0370-2693(98)00101-4_BIB16
10.1016/S0370-2693(98)00101-4_BIB19
10.1016/S0370-2693(98)00101-4_BIB18
References_xml – ident: 10.1016/S0370-2693(98)00101-4_BIB1
  doi: 10.1016/0550-3213(87)90080-0
– ident: 10.1016/S0370-2693(98)00101-4_BIB17
– ident: 10.1016/S0370-2693(98)00101-4_BIB6
  doi: 10.1016/0370-2693(93)90559-Z
– ident: 10.1016/S0370-2693(98)00101-4_BIB19
  doi: 10.1016/0920-5632(94)90360-3
– ident: 10.1016/S0370-2693(98)00101-4_BIB20
  doi: 10.1016/0550-3213(74)90486-6
– ident: 10.1016/S0370-2693(98)00101-4_BIB12
  doi: 10.1070/PU1996v039n05ABEH000145
– ident: 10.1016/S0370-2693(98)00101-4_BIB15
  doi: 10.1103/PhysRevD.49.6109
– ident: 10.1016/S0370-2693(98)00101-4_BIB18
  doi: 10.1103/PhysRevD.22.2478
– ident: 10.1016/S0370-2693(98)00101-4_BIB9
  doi: 10.1103/PhysRevD.10.4138
– ident: 10.1016/S0370-2693(98)00101-4_BIB2
  doi: 10.1016/0550-3213(81)90442-9
– ident: 10.1016/S0370-2693(98)00101-4_BIB14
  doi: 10.1103/PhysRevD.50.2819
– ident: 10.1016/S0370-2693(98)00101-4_BIB5
  doi: 10.1016/0550-3213(96)00052-1
– ident: 10.1016/S0370-2693(98)00101-4_BIB22
  doi: 10.1103/PhysRevLett.69.1867
– ident: 10.1016/S0370-2693(98)00101-4_BIB3
  doi: 10.1016/0920-5632(93)90187-B
– ident: 10.1016/S0370-2693(98)00101-4_BIB7
  doi: 10.1016/0920-5632(93)90277-D
– ident: 10.1016/S0370-2693(98)00101-4_BIB16
  doi: 10.1016/0550-3213(94)00332-7
– ident: 10.1016/S0370-2693(98)00101-4_BIB23
– ident: 10.1016/S0370-2693(98)00101-4_BIB8
– ident: 10.1016/S0370-2693(98)00101-4_BIB4
  doi: 10.1103/PhysRevD.42.4257
– ident: 10.1016/S0370-2693(98)00101-4_BIB11
  doi: 10.1103/PhysRevD.30.2212
– ident: 10.1016/S0370-2693(98)00101-4_BIB13
  doi: 10.1016/0550-3213(77)90252-8
– ident: 10.1016/S0370-2693(98)00101-4_BIB10
  doi: 10.1103/PhysRevD.28.2019
– ident: 10.1016/S0370-2693(98)00101-4_BIB21
  doi: 10.1007/BF01557669
SSID ssj0001506
Score 1.6887558
Snippet 3 D electroweak sphalerons on the lattice are used as test configurations for definitions of various topological defects. In the maximally Abelian gauge they...
SourceID crossref
elsevier
SourceType Aggregation Database
Publisher
StartPage 106
Title Topological content of the electroweak sphaleron on the lattice
URI https://dx.doi.org/10.1016/S0370-2693(98)00101-4
Volume 424
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3NS8MwFH_MieBF_MT5MXLwoIdsXZO2yUnmcEzFXZywW0jTFEXZxlbx5t_uS9o5BfEg9JQ2ofzSvt_vkfcBcCaERs9Hc4pem6Y8DSUV2hia6EhHNoxY4ntG3g_jwSO_HUfjGvSWuTAurLKy_aVN99a6GmlXaLZnz8_th4Al6EBIJkXZcRbtMIs6PolvfPVljV0FPX-SkATUPb3K4ilX8IPnUlz4RSj_nZ--cU5_G7YqsUi65fvsQM1OdmHDB22axR5cjsoOBw5n4mLOkUDINCeo6UjV3ubd6heymD0hDcynE4KXu_mqCxfztg-j_vWoN6BVQwRqeBgUNGa5yU3oIj2Q1VlgnQPEtA5ip4u0CXP019IARVDHugMVV3laZFFkUpkzw9gB1CfTiT0EgiQU45-bSaE5T7mVcZKJDLVemmmZZHkDWksU1Kwse6FW8WAIm3KwKSmUh03xBoglVurH_ik0zX9PPfr_1GPYLHMEOQ3CE6gX8zd7iiKhSJuw1vroNGG9e3M3GDb9N_EJwDm2TA
link.rule.ids 315,783,787,3513,4509,24128,27936,27937,45597,45691,45886
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3NS8MwFH_MiehF_MT52YMHPcTVJm2Tk-hwbLrt4oTdQpqmOJRubBX_fV_SzimIB6GntAnl1_T9fo-8D4BzzhV6PooR9NoUYUkgCFdak1iFKjRBSGPXM7I_iDrP7GEUjmrQWuTC2LDKyvaXNt1Z62qkWaHZnI7HzSefxuhACCp42XF2BVZt2qXd5t3R3Zc5tiX03FFC7BP7-DKNp1zCDV4IfulWIex3gvpGOu0t2KzUondbvtA21Ey-A2sualPPd-FmWLY4sEB7NugcGcSbZB6KOq_qb_Nh1Ks3n74gD8wmuYeXvfmmChv0tgfD9v2w1SFVRwSiWeAXJKKZznRgQz2Q1qlvrAdElfIjK4yUDjJ02BIfVdC1sScqtvQ0T8NQJyKjmtJ9qOeT3ByAhywU4a-bCq4YS5gRUZzyFMVekioRp1kDrhYoyGlZ90IuA8IQNmlhk4JLB5tkDeALrOSPDyjRNv899fD_U89gvTPs92SvO3g8go0yYZARPziGejF7NyeoGIrk1O2ITxpptu4
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Topological+content+of+the+electroweak+sphaleron+on+the+lattice&rft.jtitle=Physics+letters.+B&rft.au=Chernodub%2C+M.N&rft.au=Gubarev%2C+F.V&rft.au=Ilgenfritz%2C+E.-M&rft.date=1998-04-02&rft.pub=Elsevier+B.V&rft.issn=0370-2693&rft.eissn=1873-2445&rft.volume=424&rft.issue=1&rft.spage=106&rft.epage=114&rft_id=info:doi/10.1016%2FS0370-2693%2898%2900101-4&rft.externalDocID=S0370269398001014
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0370-2693&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0370-2693&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0370-2693&client=summon