The phase diagram of Yang-Mills theory with a compact extra dimension

Article, Preprint English OPEN
de Forcrand, Philippe ; Kurkela, Aleksi ; Panero, Marco (2010)
  • Publisher: SPRINGER
  • Journal: JOURNAL OF HIGH ENERGY PHYSICS (issn: 1029-8479)
  • Related identifiers: doi: 10.1007/JHEP06(2010)050
  • Subject: High Energy Physics - Lattice | High Energy Physics - Phenomenology | High Energy Physics - Theory | Nuclear and High Energy Physics

We present a non-perturbative study of the phase diagram of SU(2) Yang-Mills theory in a five-dimensional spacetime with a compact extra dimension. The non-renormalizable theory is regularized on an anisotropic lattice and investigated through numerical simulations in a regime characterized by a hierarchy between the scale of low-energy physics, the inverse compactification radius, and the cutoff scale. We map out the structure of the phase diagram and the pattern of lines corresponding to fixed values of the ratio between the mass of the fifth component of the gauge field and the non-perturbative mass gap of the four-dimensional modes. We discuss different limits of the model, and comment on the implications of our findings.
  • References (63)
    63 references, page 1 of 7

    [1] J. Scherk and J.H. Schwarz, How to get masses from extra dimensions, Nucl. Phys. B 153 (1979) 61 [SPIRES].

    [2] N.S. Manton, A new six-dimensional approach to the Weinberg-Salam model, Nucl. Phys. B 158 (1979) 141 [SPIRES].

    [3] D.B. Fairlie, Higgs' fields and the determination of the Weinberg angle, Phys. Lett. B 82 (1979) 97 [SPIRES].

    [4] Y. Hosotani, Dynamical mass generation by compact extra dimensions, Phys. Lett. B 126 (1983) 309 [SPIRES].

    [5] S.Y. Khlebnikov and M.E. Shaposhnikov, Extra space-time dimensions: towards a solution to the strong CP problem, Phys. Lett. B 203 (1988) 121 [SPIRES].

    [6] I. Antoniadis, A possible new dimension at a few TeV, Phys. Lett. B 246 (1990) 377 [SPIRES].

    [7] I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, New dimensions at a millimeter to aFermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398] [SPIRES].

    [9] N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315] [SPIRES].

    [10] N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, Phenomenology, astrophysics and cosmology of theories with sub-millimeter dimensions and TeV scale quantum gravity, Phys. Rev. D 59 (1999) 086004 [hep-ph/9807344] [SPIRES].

    [11] K.R. Dienes, E. Dudas and T. Gherghetta, Invisible axions and large-radius compactifications, Phys. Rev. D 62 (2000) 105023 [hep-ph/9912455] [SPIRES].

  • Metrics
    No metrics available
Share - Bookmark