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In the full nonlinear cosmological perturbation theory in the leading order of the gradient expansion, all the types of the gauge invariant perturbation variables are defined. The metric junction cond...
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into...
We investigate spectral properties of a fermion coupled with a massive gauge boson with a mass m at finite temperature (T ) in the perturbation theory.
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. After reviewing the general framework of the second-order gauge-invariant pe...
The non-linear evolution of the halo population is followed by solving the continuity equation under the hypothesis that haloes move by the action of gravity. An exact and general formula for the Eule...
Vector Schwinger model is reinvestigated with the mass like term for gauge field. Phase space structure has been determined in this situation. It has been found that mass of the gauge boson acquires ...
Conformal low-spin anomalous currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is de...
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic back- ground spacetime is proposed. After reviewing the general framework of the second-order gauge- invarian...
A complete, rigorous relativistic field-theory formulation of the nucleon-nucleon (NN)bremsstrahlung reaction is presented. The resulting amplitude is unitary as a matter of course and it is gauge in...
We derived the second-order perturbations of the Einstein equations and the Klein-Gordon equation for a generic situation in terms of gauge-invariant variables. The consistency of all the equations is...
The current status of the recent developments of the second-order gauge-invariant cosmological perturbation theory is reviewed. To show the essence of this perturbation theory, we concentrate only on ...
The general solution of SL(2,{\bf R})/U(1) WZNW theory is constructed by a gauge invariant reduction. This is done within both Lagrangian and Hamiltonian frameworks.

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