24-26 June 2019
Bunkyo School Building, Tokyo Campus, University of Tsukuba
Japan timezone

Instability toward the chiral inhomogeneous phase with the functional renormalization

24 Jun 2019, 17:00
2h
122 (Bunkyo School Building, Tokyo Campus, University of Tsukuba)

122

Bunkyo School Building, Tokyo Campus, University of Tsukuba

3-29-1 Otsuka Bunkyo-ku Tokyo 112-0012 Japan
Board: 36

Speaker

Dr Takeru Yokota (High Energy Accelerator Research Organization)

Description

In this talk, we present our functional-renormalization-group (FRG) study of the collective excitations around the chiral phase transition line. In particular, we intensively investigate the sigma-mesonic and pionic collective modes around the QCD critical point (CP) by calculating the spectral functions with the FRG. Such an FRG study gives beyond-mean-field pictures of the collective modes since it incorporates the large fluctuations involved in the second-order phase transition. We find that one-particle excitation showing tachyonic instability in the sigma-mesonic channel appears as the quark chemical potential approaches that of the QCD CP from the hadronic phase with a fixed temperature. Such an unstable mode has finite momentum, which suggests the instability associated with the transition to the chiral inhomogeneous phase. We give an explanation for the origin of this phenomenon: The level repulsion between the one- and two-particle modes in the sigma-mesonic channel causes the instability in the one-particle mode. Since there is no such instability in the pionic channel, our result suggests the real kink crystal occurs.

Primary author

Dr Takeru Yokota (High Energy Accelerator Research Organization)

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