Mainz 2014 – scientific programme

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T: Fachverband Teilchenphysik

T 19: Gittereichtheorie

T 19.2: Talk

Monday, March 24, 2014, 11:15–11:30, P108

Phase diagram of Wilson fermions with iso-spin chemical potential and of twisted mass fermions — •Mario Kieburg¹, Kim Splittorff², Jacobus Verbaarschot³, and Savvas Zafeiropoulos⁴ — ¹Fakultät für Physik, Universität Bielefeld, Bielefeld, Germany — ²The Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark — ³Department of Physics and Astronomy, State University of New York at Stony Brook, USA — ⁴Laboratoire de Physique Corpusculaire, Université Blaise Pascal, Aubière Cedex, France

Wilson fermions exhibit new phase structures like the Aoki phase which prevent in certain regimes of the phase diagram an extrapolation to continuum QCD. Therefore one can expect that these phases have also a crucial impact at finite chemical potential. Especially the low lying eigenvalue spectrum of the Dirac operator is affected by those phase transitions. I am going to present new results on the phase diagram of Wilson fermions with real as well as imaginary iso-spin chemical potential. In particular I am going to show how the Aoki phase influences the analytical continuity of an iso-spin chemical potential in the epsilon-regime of a two-flavor theory. The spectrum of the Wilson Dirac operator at finite iso-spin chemical potential of a two flavor theory is unitarily equivalent to the one of twisted mass fermions. Thus, the results I am going to present apply to those fermions, too.