[en] In this paper, the author reviews the recent applications of loop equations to the matrix models and to two-dimensional quantum gravity, defined as their continuum limit. Results concerning multi-loop correlators for low genera and Virasoro invariance are discussed

[en] This paper studies the points of infinite-dimensional Grassmannian corresponding to the τ functions connected with 2D-gravity and W_h-gravity

[en] Separate abstracts were prepared for the 27 papers presented

[en] Finite temperature renormalization group equation is employed to investigate the effective coupling constant of QCD with respect to temperature. At high temperature, it is very small over the entire region of momentum. This leads to the property of deconfinement of QCD

No abstract available

[en] The phenomenon of dimensional reduction in quantum theories of gravity is studied. In the five-dimensional Kaluza-Klein model, the one-loop effective potential as a function of g⁵⁵ is computed. When the distance around the fifth dimension is larger than the Planck length, the loop expansion is reliable. The result leads to a force tending to make the fifth dimension contract to a size on the order of the Planck length. This can be interpreted as a gravitational version of the Casimir effect in electrodynamics. .ID LW2036

No abstract available

[en] A study is made of the polarization of the vacuum by invariant sources which generate a vacuum expectation value of the classical action S

[en] As preliminary to an alternative treatment of electromagnetic multipole expansions, Maxwell's equations are reformulated in terms of spin coefficients which are adapted to a null coordinate system attached to an arbitrary timelike world line in Minkowski space-time. To analyze the angular dependence of the multiple fields, spin weighted functions on the sphere and their associated operators are also introduced. (author)

[en] The full field-theoretic apparatus for the description of planar field theories is developed including planar generating functionals and planar Dyson-Schwinger equations. It is shown that planar field theory is characterized by continued fractions rather than exponentials. Planar QCD is studied in detail and the planar Ward identities are derived. (orig.)