High Energy Astrophysics (Frontiers in Physics) by Jonathan Katz

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Rev. D 64, 074017 (2001) [arXiv:hep-ph/0105009]. 77. A. Gerhold and A. Rebhan, Phys. Rev. D 68, 011502 (2003) [arXiv:hep-ph/0305108]; A. Kryjevski, Phys. Rev. D 68, 074008 (2003) [arXiv:hep-ph/0305173]; A. Gerhold, Phys. Rev. D 71, 014039 (2005) [arXiv:hep-ph/0411086]; D. D. Dietrich and D. H. Rischke, Prog. Part. Nucl. Phys. 53, 305 (2004) [arXiv:nucl-th/0312044]; 36 Color Superconductivity in Dense Quark Matter 78. R. Casalbuoni, R. Gatto, M. Mannarelli and G. Nardulli, Phys. Rev. D 66, 014006 (2002) [arXiv:hep-ph/0201059].

Nardulli, Phys. Rev. D 66, 094006 (2002) [arXiv:hep-ph/0208121]. 80. A. Sedrakian, arXiv:nucl-th/0312053. 81. D. T. Son and M. A. Stephanov, arXiv:cond-mat/0507586. 82. M. Mannarelli, G. Nardulli and M. Ruggieri, arXiv:cond-mat/0604579. Chapter 2 Larkin-Ovchinnikov-Fulde-Ferrell Phases in QCD Giuseppe Nardulli Department of Physics, University of Bari and INFN-Bari, Via E. it The Larkin-Ovchinnikov-Fulde-Ferrell (LOFF) inhomogeneous color superconducting phase of QCD is reviewed. The case of two flavors is discussed in the hypothesis that the gap is formed by one or more plane waves.

52 The terms that occur in the three-flavor case but not in the two-flavor case, namely ^32 and 7322, describe the interaction between the two condensates and hence depend on the angle between q 2 and q 3 . 52 This tells us that within this two plane wave ansatz, the most favorable orientation is c/> = 0, namely q 2 || q3- Making this choice yields the smallest possible /3eg- and %g within this ansatz, and hence the largest possible 6 and condensation energy, again within this ansatz. The divergence at 4> —» 7r tells us that choosing q 2 and q 3 precisely antiparallel exacts an infinite free energy price in the combined Ginzburg-Landau and weak-coupling limit in which 5 -C 6(i, 60 <§C (i, meaning that in this limit if we chose = -K we find 6 = 0, Away from the Ginzburg-Landau limit, when the pairing rings on the Fermi surfaces widen into bands, choosing = ir exacts a finite price meaning that 6 is nonzero but smaller than that for any other choice of .

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