Hisamitsu Mukaida

PHYSICAL STATES OF THE TOPOLOGICAL SCHWINGER MODEL

The Schwinger model with the strong coupling limit is studied as a topological field theory both in the path-integral and in the Hamiltonian formalism. The correlation functions between arbitrary numbers of physical operators are obtained. All the physical states in this model are completely determined in the Hamiltonian formalism. The relationship between a physical operator and the generator of a large gauge transformation is clarified. The chiral condensation is also calculated.

REPLICA METHOD FOR WIDE CORRELATORS IN GAUSSIAN ORTHOGONAL, UNITARY AND SYMPLECTIC RANDOM MATRIX ENSEMBLES

We calculate connected correlators in Gaussian orthogonal, unitary and symplectic random matrix ensembles by the replica method in the 1/N-expansion. We obtain averaged one-point Greens functions up to the next-to-leading order , wide two-level correlators up to the first non-trivial order and wide three-level correlators up to the first non-trivial order by carefully treating fluctuations in saddle-point evaluation.

Non-differentiability of the effective potential and the replica symmetry breaking in the random energy model

The effective potential for the two-replica system of the random energy model is exactly derived. It is an analytic function of the magnetizations of two replicas, and in the high-temperature phase. In the low-temperature phase, where the replica symmetry breaking takes place, the effective potential becomes non-analytic when . The non-analyticity is considered as a consequence of the condensation of the Boltzmann measure, which is a typical property of a glass phase.

GENERAL SOLUTION ON BRANEWORLDS UNDER THE SCHWARZSCHILD ANSATZ

General solution for braneworld dynamics coupled with the bulk Einstein equation is considered under the Schwarzschild ansatz. They relate the brane metric to the exterior configurations, and establish conditions for the braneworlds to reproduce successful results of the Einstein gravity.

Comment on "random-field spin models beyond 1 loop: a mechanism for decreasing the lower critical dimension".

A comment on the Letter by Le Doussal and Wiese, Phys. Rev. Lett. 96, 197202 (2006).

Random field O(N) spin model near four dimensions

We study the stability of fixed points in the two-loop renormalization group for the random field O(N) spin model in 4+ dimensions. We obtain fixed points in the 1/N expansion and expansion. We solve the eigenvalue equation for an infinitesimal deviation from these fixed points under physical conditions on the random anisotropy function. We find that the fixed point corresponding to dimensional reduction is singly unstable for sufficiently large N, and the critical exponents show a dimensional reduction. Also, we derive the condition on N for the non-existence of the fixed point corresponding to dimensional reduction. The result is qualitatively consistent with that in recent papers.

Stability of fixed points in the ( 4 + ϵ ) -dimensional random field O ( N ) spin model for sufficiently large N

We study the stability of fixed points in the two-loop renormalization group for the random field

Effect of Second-Rank Random Anisotropy on Critical Phenomena of Random Field O(N) Spin Model

\mathrm{O}(N)

Deformation of a renormalization-group equation applied to infinite-order phase transitions.

spin model in

An asymptotic formula for marginal running coupling constants and universality of loglog corrections

4+ϵ