Paramagnetic versus Diamagnetic Interaction in the SU(2) Higgs Model

被引:0
作者
Antonov, Dmitry [1 ,2 ]
机构
[1] ULisboa, Inst Super Tecn, Dept Fis, Av Rovisco Pais, P-1049001 Lisbon, Portugal
[2] ULisboa, Inst Super Tecn, CFIF, Av Rovisco Pais, P-1049001 Lisbon, Portugal
来源
SYMMETRY-BASEL | 2019年 / 11卷 / 10期
关键词
Higgs model; Yang-Mills vacuum; effective action; world-line formalism; Wilson loop; ADJOINT SOURCE; GAUGE; CONFINEMENT;
D O I
10.3390/sym11101237
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We present an analytic calculation of the paramagnetic and diamagnetic contributions to the one-loop effective action in the SU(2) Higgs model. The paramagnetic contribution is produced by the gauge boson, while the diamagnetic contribution is produced by the gauge boson and the ghost. In the limit, where these particles are massless, the standard result of -12 for the ratio of the paramagnetic to the diamagnetic contribution is reproduced. If the mass of the gauge boson and the ghost become much larger than the inverse vacuum correlation lengths of the Yang-Mills vacuum, the value of the ratio goes to -8. We also find that the same values of the ratio are achieved in the deconfinement phase of the model, up to the temperatures at which the dimensional reduction occurs.
引用
收藏
页数:9
相关论文
共 30 条
[1]   STOCHASTIC CONFINEMENT AND DIMENSIONAL REDUCTION .1. 4-DIMENSIONAL SU(2) LATTICE GAUGE-THEORY [J].
AMBJORN, J ;
OLESEN, P ;
PETERSON, C .
NUCLEAR PHYSICS B, 1984, 240 (02) :189-212
[2]  
Antonov D., 2005, JHEP-Journal of High Energy Physics, V2005, DOI 10.1088/1126-6708/2005/10/018
[3]  
Antonov D., 2003, JHEP-Journal of High Energy Physics, V2003, DOI 10.1088/1126-6708/2003/10/030
[4]   Quark condensate for various heavy flavors [J].
Antonov, Dmitri ;
Emilio, Jose ;
Ribeiro, F. T. .
EUROPEAN PHYSICAL JOURNAL C, 2012, 72 (10) :1-7
[5]   Exploring correlations in the stochastic Yang-Mills vacuum [J].
Antonov, Dmitri .
PHYSICS LETTERS B, 2011, 696 (03) :214-219
[6]   World-Line Formalism: Non-Perturbative Applications [J].
Antonov, Dmitry .
UNIVERSE, 2016, 2 (04)
[7]   COVARIANT PERTURBATION-THEORY .2. 2ND-ORDER IN THE CURVATURE - GENERAL ALGORITHMS [J].
BARVINSKY, AO ;
VILKOVISKY, GA .
NUCLEAR PHYSICS B, 1990, 333 (02) :471-511
[8]   CONSISTENT DERIVATION OF THE QUART-ANTIQUARK AND 3-QUARK POTENTIALS IN A WILSON LOOP CONTEXT [J].
BRAMBILLA, N ;
CONSOLI, P ;
PROSPERI, GM .
PHYSICAL REVIEW D, 1994, 50 (09) :5878-5892
[9]   Potential NRQCD: an effective theory for heavy quarkonium [J].
Brambilla, N ;
Pineda, A ;
Soto, J ;
Vairo, A .
NUCLEAR PHYSICS B, 2000, 566 (1-2) :275-310
[10]   Effective-field theories for heavy quarkonium [J].
Brambilla, N ;
Pineda, A ;
Soto, J ;
Vairo, A .
REVIEWS OF MODERN PHYSICS, 2005, 77 (04) :1423-1496