\begin{document}$\pi^{\pm}$\end{document} are treated as bound states of quarks and not as point-like charged particles. The isospin chemical potential plays the role of a trigger for charged pion condensation. We obtain the associated effective potential as a function of the strength of the electromagnetic fields and find that it contains a sextic term which possibly induces a weak first order phase transition. The dependence of pion condensation on model parameters is investigated."> Charged pion condensation in anti-parallel electromagnetic fields and nonzero isospin density -
  • [1]

    J. Cleymans, R. V. Gavai, and E. Suhonen, Phys. Rept.,130: 217 (1986)

  • [2]

    M. Buballa, Phys. Rept.,407: 205 (2005)

  • [3]

    M. Buballa and S. Carignano, Prog. Part. Nucl. Phys.,81: 39 (2015)

  • [4]

    J. O. Andersen and P. Kneschke, arXiv: 1802.01832

  • [5]

    D. E. Kharzeev, L. D. McLerran, and H. J. Warringa, Nucl. Phys. A,803: 227 (2008)

  • [6]

    V. Skokov, A. Yu. Illarionov, and V. Toneev, Int. J. Mod. Phys. A,24: 5925 (2009)

  • [7]

    K. Hattori and X.-G. Huang, Nucl. Sci. Tech.,28(2): 26 (2017)

  • [8]

    J. O. Andersen, W. R. Naylor, and A. Tranberg, Rev. Mod. Phys.,88: 025001 (2016)

  • [9]

    V. A. Miransky and I. A. Shovkovy, Phys. Rept.,576: 1 (2015)

  • [10]

    X. G. Huang, Rept. Prog. Phys.,79(7): 076302 (2016)

  • [11]

    W. -T. Deng and X. -G. Huang, Phys. Rev. C,85: 044907 (2012)

  • [12]

    R. C. Duncan and C. Thompson, Astrophys. J.,392: L9 (1992)

  • [13]

    D. Blaschke and N. Chamel, arXiv: 1803.01836

  • [14]

    S. Ray, A. L. Espindola, M. Malheiro et al, Phys. Rev. D,68: 084004 (2003), arXiv:astroph/0307262

  • [15]

    G. Cao and X.-G. Huang, Phys. Lett. B,757: 1 (2016)

  • [16]

    L. Wang, G. Cao, X. G. Huang et al, Phys. Lett. B,780: 273 (2018)

  • [17]

    S. L. Adler, Anomalies to all orders, in: G. ’t Hooft (Ed.), 50 years of Yang-Mills theory, 2005, pp. 187-228

  • [18]

    R. F. Sawyer, Phys. Rev. Lett.,29: 382 (1972)

  • [19]

    R. F. Sawyer and D. J. Scalapino, Phys. Rev. D,7: 953 (1973)

  • [20]

    D. N. Voskresensky, N. Yu. Anisimov, Sov. Phys. JETP,51:13 (1980) [Zh. Eksp. Teor. Fiz.,78:28 (1980)]

  • [21]

    A. B. Migdal, Rev. Mod. Phys.,50: 107 (1978)

  • [22]

    M. D’Elia, M. Mariti, and F. Negro, Phys. Rev. Lett.,110: 082002 (2013)

  • [23]

    B. B. Brandt, G. Endrodi, and S. Schmalzbauer, Phys. Rev. D,97: 054514 (2018)

  • [24]

    B. B. Brandt, G. Endrodi, E. S. Fraga et al, arXiv: 1802.06685

  • [25]

    J. B. Kogut and D. K. Sinclair, Phys. Rev. D,66: 014508 (2002)

  • [26]

    D. T. Son and M. A. Stephanov, Phys. Rev. Lett.,86: 592 (2001)

  • [27]

    K. Splittorff, D. T. Son, and M. A. Stephanov, Phys. Rev. D,64: 016003 (2001)

  • [28]

    M. Loewe and C. Villavicencio, Phys. Rev. D,67: 074034 (2003)

  • [29]

    E. S. Fraga, L. F. Palhares, and C. Villavicencio, Phys. Rev. D,79: 014021 (2009)

  • [30]

    S. Carignano, L. Lepori, A. Mammarella et al, Eur. Phys. J. A,53: 35 (2017)

  • [31]

    D. Toublan and J. B. Kogut, Phys. Lett. B,605: 129 (2005)

  • [32]

    B. Klein, D. Toublan, and J. J. M. Verbaarschot, Phys. Rev. D,68: 014009 (2003)

  • [33]

    L. He, M. Jin, and P. Zhuang, Phys. Rev. D,74: 036005 (2006)

  • [34]

    S. Mao, Phys. Rev. D,89: 116006 (2014)

  • [35]

    T. G. Khunjua, K. G. Klimenko, R. N. Zhokhov et al, Phys. Rev. D,95: 105010 (2017)

  • [36]

    T. G. Khunjua, K. G. Klimenko, and R. N. Zhokhov, Phys. Rev. D,97: 054036 (2018)

  • [37]

    L. He, M. Jin, and P. Zhuang, Phys. Rev. D,71: 116001 (2005)

  • [38]

    D. Ebert and K. G. Klimenko, J. Phys. G,32: 599 (2006)

  • [39]

    G. Sun, L. He, and P. Zhuang, Phys. Rev. D,75: 096004 (2007)

  • [40]

    M. Frank, M. Buballa, and M. Oertel, Phys. Lett. B,562: 221 (2003)

  • [41]

    D. Toublan and J. B. Kogut, Phys. Lett. B,564: 212 (2003)

  • [42]

    A. Barducci, R. Casalbuoni, G. Pettini et al, Phys. Rev. D,69: 096004 (2004)

  • [43]

    J. O. Andersen and L. Kyllingstad, J. Phys. G,37: 015003 (2009)

  • [44]

    H. Abuki, R. Anglani, R. Gatto et al, Phys. Rev. D,79: 034032 (2009)

  • [45]

    C. Mu, L. He, and Y. Liu, Phys. Rev. D,82: 056006 (2010)

  • [46]

    T. Xia, L. He, and P. Zhuang, Phys. Rev. D,88: 056013 (2013)

  • [47]

    K. Kamikado, N. Strodthoff, L. von Smekal et al, Phys. Lett. B,718: 1044 (2013)

  • [48]

    H. Ueda, T. Z. Nakano, A. Ohnishi et al, Phys. Rev. D,88: 074006 (2013)

  • [49]

    R. Stiele, E. S. Fraga, and J. Schaffner-Bielich, Phys. Lett. B,729: 72 (2014)

  • [50]

    Z. Zhang and Y. Liu, Phys. Rev. C,75: 035201 (2007)

  • [51]

    E. E. Svanes and J. O. Andersen, Nucl. Phys. A,857: 16 (2011)

  • [52]

    Z. Wang and P. Zhuang, Phys. Rev. D,96: 014006 (2017)

  • [53]

    K. Kashiwa and A. Ohnishi, Phys. Lett. B,772: 669 (2017)

  • [54]

    P. Basu, J. He, A. Mukherjee, and H. H. Shieh, JHEP,0911: 070 (2009)

  • [55]

    D. Albrecht and J. Erlich, Phys. Rev. D,82: 095002 (2010)

  • [56]

    B. J. Harrington and H. K. Shepard, Phys. Rev. D,16: 3437 (1977)

  • [57]

    M. Loewe, C. Villavicencio, and R. Zamora, Phys. Rev. D,89(1): 016004 (2014), arXiv:1310.5789[hep-ph

  • [58]

    G. Endrödi, Phys. Rev. D,90(9): 094501 (2014), arXiv:1407.1216[hep-lat

  • [59]

    G. Cao and P. Zhuang, Phys. Rev. D,92(10): 105030 (2015), arXiv:1505.05307[nucl-th

  • [60]

    T. Brauner and N. Yamamoto, JHEP,1704: 132 (2017), arXiv:1609.05213[hep-ph

  • [61]

    Y. Nambu, G. Jona-Lasinio, Phys. Rev.,122: 345 (1961)

  • [62]

    Y. Nambu, G. Jona-Lasinio, Phys. Rev.,124: 246 (1961)

  • [63]

    J. S. Schwinger, Phys. Rev.,82: 664 (1951)

  • [64]

    T. Inagaki, D. Kimura, T. Murata, Int. J. Mod. Phys. A,20: 4995 (2005)

  • [65]

    H. Kohyama, D. Kimura, T. Inagaki, Nucl. Phys. B,896: 682 (2015)

  • [66]

    M. K. Volkov, Sov. J. Part. Nucl.17(1986) 186, [Fiz. Elem. Chast. Atom. Yadra17(1986) 433]

  • [67]

    U. Vogl, W. Weise, Prog. Part. Nucl. Phys.,27: 195 (1991)

  • [68]

    S. P. Klevansky, Rev. Mod. Phys.,64: 649 (1992)

  • [69]

    T. Hatsuda, T. Kunihiro, Phys. Rept.,247: 221 (1994)

  • [70]

    M. K. Volkov, A. E. Radzhabov, Phys. Usp.,49: 551 (2006)

  • [71]

    M. R. Brown, M. J. Duff, Phys. Rev. D,11: 2124 (1975)

  • [72]

    W. Dittrich and H. Gies,Probing the quantum vacuum: perturbative effective action approach in quantum electrodynamics and its application(2000), Springer Science & Business Media

  • [73]

    M. Ruggieri, Z. Y. Lu, G. X. Peng, Phys. Rev. D,94: 116003 (2016)

  • [74]

    V. Bernard, A. A. Osipov, U. G. Meissner, Phys. Lett. B,285: 119 (1992)

  • [75]

    W. R. Tavares, S. S. Avancini, arXiv: 1801.10566

  • [76]

    G. Cao, X.-G. Huang, Phys. Rev. D,93: 016007 (2016)

  • [77]

    J. Chao, L. Yu and M. Huang, Phys. Rev. D,90: 045033 (2014)

  • [78]

    S. L. Adler, B. W. Lee, S. B. Treiman et al, Phys. Rev. D,4: 3497 (1971)

  • [79]

    M. V. Terent’ev, Soviet Journal of Experimental and Theoretical Physics Letters,14: 94 (1971)

  • [80]

    V. L. Ginzburg, L. D. Landau, Zh. Eksp. Teor. Fiz.,20: 1064 (1950)

  • [81]

    V. Begun and W. Florkowski, Phys. Rev. C,91: 054909 (2015)

Baidu
map