Geodesic
Temperature inversion symmetry in gauge-Higgs unification models
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 1, pp. 109-130

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the temperature inversion symmetry $R\to1/T$ for the finite-temperature effective potential of the $N{=}1$, $d{=}5$ supersymmetric $SU(3)_{\mathrm c}{\times}SU(3)_{\mathrm w}$ model on the orbifold $S^1/Z_2$. For the value of the Wilson line parameter $\alpha=1$ ($SU(2)_{\mathrm L}$ breaks to $U'(1))$, we show that the effective potential contains a symmetric part and an antisymmetric part under $\xi\to1/\xi$, $\xi=RT$. For $\alpha=0$ $(SU(2)_{\mathrm L}$ is preserved in this case), we find that the only contribution to the effective potential that breaks the temperature inversion symmetry comes from the fermions in the fundamental representation of the gauge group with the $Z_2$ parities $(+,+)$ or $(-,-)$. This is interesting because it implies that the bulk effective potential corresponding to models with fundamental fermions localized at a fixed point in the orbifold (and models with no bulk fundamental fermions) has the temperature inversion symmetry.
Mots-clés : extra dimensions
Keywords: temperature inversion symmetry, zeta-function regularization, orbifold compactification. 
V. K. Oikonomou. Temperature inversion symmetry in gauge-Higgs unification models. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 1, pp. 109-130. http://geodesic.mathdoc.fr/item/TMF_2009_159_1_a6/
@article{TMF_2009_159_1_a6,
     author = {V. K. Oikonomou},
     title = {Temperature inversion symmetry in {gauge-Higgs} unification models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {109--130},
     year = {2009},
     volume = {159},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_159_1_a6/}
}
TY  - JOUR
AU  - V. K. Oikonomou
TI  - Temperature inversion symmetry in gauge-Higgs unification models
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2009
SP  - 109
EP  - 130
VL  - 159
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2009_159_1_a6/
LA  - ru
ID  - TMF_2009_159_1_a6
ER  - 
%0 Journal Article
%A V. K. Oikonomou
%T Temperature inversion symmetry in gauge-Higgs unification models
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2009
%P 109-130
%V 159
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2009_159_1_a6/
%G ru
%F TMF_2009_159_1_a6

[1] C. Wotzasek, J. Phys. A, 23:9 (1990), 1627–1632 ; F. C. Santos, A. C. Tort, Phys. Lett. B, 482:1–3 (2000), 323–328 ; Duality transformations and temperature inversion symmetry ; A. C. Aguiar Pinto, T. M. Britto, F. Pascoal, F. S. S. da Rosa, Phys. Rev. D, 67:10 (2003), 107701 ; F. Ravndal, D. Tollefsen, Phys. Rev. D, 40:12 (1989), 4191–4192 ; A. Gundersen, F. Ravndal, Ann. Phys., 182:1 (1988), 90–111 ; L. S. Brown, G. J. Maclay, Phys. Rev. D, 184:5 (1969), 1272–1279 ; V. K. Oikonomou, J. Phys. A, 40:21 (2007), 5725–5731 ; J. S. Dowker, Class. Quant. Grav., 20:8 (2003), L105–L113 | DOI | MR | DOI | DOI | DOI | MR | DOI | DOI | DOI | MR | Zbl | DOI | MR | Zbl

[2] J. Polchinski, String Theory, V. 1, 2, Cambridge Monogr. Math. Phys., Cambridge Univ. Press, Cambridge, 1998 ; S. Chaudhuri, Phys. Rev. Lett., 86 (2001), 1943–1946 ; E. Alvarez, M. A. R. Osorio, Phys. Rev. D, 40 (1989), 1150–1152 | MR | MR | Zbl | DOI | MR | DOI | MR

[3] K. R. Dienes, M. Lennek, Phys. Rev. D, 70:12 (2004), 126005 | DOI | MR

[4] M. Quiros, Introduction to extra dimensions, arXiv: hep-ph/0606153

[5] I. Antoniadis, S. Dimopoulos, A. Pomarol, M. Quirós, Nucl. Phys. B, 544:3 (1999), 503–519 | DOI

[6] A. Delgado, A. Pomarol, M. Quirós, Phys. Rev. D, 60:9 (1999), 095008 | DOI

[7] A. Hebecker, J. M. Russell, Nucl. Phys. B, 625:1–2 (2002), 128–150 | DOI | MR | Zbl

[8] A. Hebecker, J. M. Russell, Nucl. Phys. B, 613:1–2 (2001), 3–16 | DOI | MR | Zbl

[9] N. Haba, Y. Hosotani, Y. Kawamura, Progr. Theoret. Phys., 111:2 (2004), 265–289 ; N. Haba, M. Harada, Y. Hosotani, Y. Kawamura, Nucl. Phys. B, 657:1–3 (2003), 169–213 | DOI | MR | Zbl | DOI | MR | Zbl

[10] Y. Kawamura, Progr. Theoret. Phys., 105:4 (2001), 691–696 | DOI | Zbl

[11] A. Pomarol, M. Quirós, Phys. Lett. B, 438:3–4 (1998), 255–260 | DOI | MR

[12] R. Barbieri, L. J. Hall, Y. Nomura, Phys. Rev. D, 63:10 (2001), 105007 | DOI

[13] L. J. Hall, Y. Nomura, D. R. Smith, Nucl. Phys. B, 639:1–2 (2002), 307–330 ; G. Burdman, Y. Nomura, Nucl. Phys. B, 656:1–2 (2003), 3–22 | DOI | MR | DOI | MR | Zbl

[14] N. Haba, Y. Hosotani, Y. Kawamura, T. Yamashita, Phys. Rev. D, 70:1 (2004), 015010 ; Y. Hosotani, S. Noda, K. Takenaga, Phys. Lett. B, 607:3–4 (2005), 276–285 ; N. Haba, K. Takenaga, T. Yamashita, Phys. Rev. D, 71:2 (2005), 025006 ; N. Maru, K. Takenaga, Phys. Rev. D, 72:4 (2005), 046003 ; M. Sakamoto, K. Takenaga, Phys. Rev. D, 76 (2007), 085016 ; ; C. A. Scrucca, M. Serone, L. Silvestrini, Nucl. Phys. B, 669:1–2 (2003), 128–158 ; C. A. Scrucca, M. Serone, A. Wulzer, L. Silvestrini, JHEP, 02 (2004), 049 ; G. Panico, M. Serone, JHEP, 05 (2005), 024 ; “The electroweak phase transition in models with gauge-Higgs unification”, ; G. Panico, M. Serone, A. Wulzer, Nucl. Phys. B, 739:1–2 (2006), 186–207 ; M. Serone, “The Higgs boson as a Gauge field in extra dimensions”, 17th Italian Meeting on High Energy Physics, AIP Conf. Proc., 794, no. 1, eds. A. Tricomi, S. Albergo, and M. Chiorboli, Amer. Inst. Phys., Melville, N. Y., 2005, 139–142 ; ; C. A. Scrucca, M. Serone, L. Silvestrini, F. Zwirner, Phys. Lett. B, 525:1–2 (2002), 169–174 ; C. Biggio, M. Quirós, Nucl. Phys. B, 703:1–2 (2004), 199–216 arXiv: 0706.0071arXiv: hep-ph/0511348arXiv: hep-ph/0508019 | DOI | DOI | DOI | MR | DOI | MR | DOI | MR | DOI | DOI | MR | DOI | MR | DOI | Zbl | DOI | DOI | MR | Zbl | DOI | Zbl

[15] Y. Hosotani, Phys. Lett. B, 126:5 (1983), 309–313 ; Ann. Physics, 190:2 (1989), 233–253 | DOI | DOI | MR

[16] N. Maru, K. Takenaga, Phys. Rev. D, 74:1 (2006), 015017 | DOI | MR

[17] N. Arkani-Hamed, T. Gregoire, J. G. Wacker, JHEP, 03 (2002), 055 ; arXiv: hep-th/0101233 | DOI | MR

[18] L. Alvarez-Gaumé, S. F. Hassan, Fortschr. Phys., 45:3–4 (1997), 159–236 ; arXiv: hep-th/9701069 | DOI | MR | Zbl

[19] N. Haba, T. Yamashita, JHEP, 02 (2004), 059 ; arXiv: hep-ph/0401185 | DOI | MR

[20] J. Scherk, J. H. Schwarz, Phys. Lett. B, 82:1 (1979), 60–64 | DOI

[21] K. Hwang, J. E. Kim, Orbifold Compactification and Related Phenomenology, arXiv: hep-ph/0411286

[22] E. Elizalde, A. Romeo, Rev. Math. Phys., 01:1 (1989), 113–128 ; E. Elizalde, J. Phys. A, 39:21 (2006), 6299–6307 ; Ten Physical Applications of Spectral Zeta Functions, Lecture Notes in Phys. New Ser. Monogr., 35, Springer, Berlin, 1995 ; J. Math. Phys., 35:11 (1994), 6100–6122 | DOI | MR | Zbl | DOI | MR | Zbl | MR | Zbl | DOI | MR | Zbl

[23] Yu. P. Goncharov, A. A. Bytsenko, Nucl. Phys. B, 271:3–4 (1986), 726–748 | DOI | MR

[24] I. Antoniadis, C. Muñoz, M. Quirós, Nucl. Phys. B, 397:3 (1993), 515–538 | DOI