Ikuo Ichinose

Entropies of scalar fields on three-dimensional black holes

Abstract The thermodynamics of scalar fields is investigated in three dimensional black hole backgrounds in two approaches. One is mode expansion and direct computation of the partition sum, and the other is the Euclidean path integral approach. We obtain a number of exact results, for example, mode functions, Hartle-Hawking Green functions on the black holes, Green functions on a cone geometry, free energies and entropies. They constitute reliable bases for the thermodynamics of scalar fields. It is shown that thermodynamic quantities largely depend upon the approach used to calculate them, the boundary conditions for the scalar fields and upon the regularization method. We find that, in general, the entropies are not proportional to the area of the horizon and that their divergent parts are not necessarily due to the existence of the horizon.

Effective gauge-field theory of the t − J model in the charge-spin separated state and its transport properties

We study the slave-boson t-J model of cuprates with high superconducting transition temperatures, and derive its low-energy effective field theory for the charge-spin separated state in a self-consistent manner. The phase degrees of freedom of the mean field for hoppings of holons and spinons can be regarded as a U(1) gauge field,

Dynamics of the composite gauge boson in the CPN−1 model with fermion and the charge-spin separation

A_i

Effective lagrangian of mesons and baryons in the strong-coupling expansion of lattice QCD

. The charge-spin separation occurs below certain temperature,

Comment on "Confinement of Slave Particles in U(1) Gauge Theories of Strongly Interacting Electrons"

T_{rm CSS}

TOPOLOGICAL SOLITONS IN CHERN-SIMONS THEORIES FOR THE DOUBLE-LAYER FRACTIONAL QUANTUM HALL EFFECT

, as a deconfinement phenomenon of the dynamics of

Dissipative gauge theory of fermions and its marginal-Fermi-liquid-like behavior

A_i

Phase structure of quasi (2 + 1)-dimensional four-Fermi theory with global chiral U(1) symmetry

. Below certain temperature

Localized and extended states in one-dimensional disordered system: random-mass Dirac fermions

T_{rm SG} (<T_{rm CSS})

Mechanism of particle-flux separation and generation of the dynamical gauge field in the Chern-Simons theory with fermions

, the spin-gap phase develops as the Higgs phase of the gauge-field dynamics, and