Yoshitaka Hatta

Universality, the QCD critical and tricritical point, and the quark number susceptibility

The quark number susceptibility near the QCD critical end-point (CEP), the tricritical point (TCP) and the O(4) critical line at finite temperature and quark chemical potential is investigated. Based on the universality argument and numerical model calculations we propose a possibility that the hidden tricritical point strongly affects the critical phenomena around the critical end-point. We made a semi-quantitative study of the quark number susceptibility near CEP/TCP for several quark masses on the basis of the Cornwall-Jackiw-Tomboulis (CJT) potential for QCD in the improved-ladder approximation. The results show that the susceptibility is enhanced in a wide region around CEP inside which the critical exponent gradually changes from that of CEP to that of TCP, indicating a crossover of different universality classes.

Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops

We discuss how to extract renormalized loops from bare Polyakov loops in

Effective Hamiltonian for QCD evolution at high energy

mathrm{SU}(N)

Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N(c)

lattice gauge theories at nonzero temperature. Single loops in an irreducible representation are multiplicatively renormalized, without mixing, through mass renormalization. The values of renormalized loops in the four lowest representations of

Odderon in the color glass condensate

mathrm{SU}(3)

Gluon polarization in the nucleon demystified

were measured numerically on small, coarse lattices. We find that in magnitude, condensates for the sextet and octet loops are approximately the square of the triplet loop. This agrees with a large N expansion, where factorization implies that the expectation values of loops in adjoint and higher representations are powers of fundamental and antifundamental loops. The corrections to the large N relations at three colors are greatest for the sextet loop,

Analytical and numerical Gubser solutions of the second-order hydrodynamics

ensuremath{sim}1/N,

Color dipoles from Bremsstrahlung in QCD evolution at high energy

and are found to be

Gluon helicity ΔG from a universality class of operators on a lattice

l~25%.

Wigner, Husimi, and generalized transverse momentum dependent distributions in the color glass condensate

The values of the renormalized triplet loop can be described by a matrix model, with an effective action dominated by the triplet loop: the deconfining phase transition for