IN two previous notes1, Prof. Max Born and I have shown that one can obtain a theory of superconductivity by taking account of the fact that the interaction of the electrons with the ionic lattice is appreciable only near the boundaries of Brillouin zones, and particularly strong near the corners of these. This leads to the criterion that the metal should be superconductive if a set of corners of a Brillouin zone is lying very near the Fermi surface, considered as a sphere, which limits the region in the momentum space completely filled with electrons.

On the theory of superconductivity

Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance

It has been $30\phantom{\rule{0.3em}{0ex}}\text{years}$ since the discovery of the Unruh effect. It has played a crucial role in our understanding that the particle content of a field theory is observer dependent. This effect is important in its own right and as a way to understand the phenomenon of particle emission from black holes and cosmological horizons. The Unruh effect is reviewed here with particular emphasis on its applications. A number of recent developments are also commented on and some controversies are discussed. Effort is also made to clarify what seem to be common misconceptions.

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The Unruh effect and its applications

Real- and imaginary-time field theory at finite temperature and density

Advances in physics

κ-deformed spacetime from twist

Unitarity in space–time noncommutative field theories

We study the ultraviolet divergent structures of the matter (scalar) field in a higher D-dimensional Reissner-Nordstr{umlt o}m black hole and compute the matter field contribution to the Bekenstein-Hawking entropy by using the Pauli-Villars regularization method. We find that the matter field contribution to the black hole entropy does not, in general, yield the correct renormalization of the gravitational coupling constants. In particular, we show that the matter field contribution in odd dimensions does not give the term proportional to the area of the black hole event horizon. {copyright} {ital 1997} {ital The American Physical Society}

Renormalized thermodynamic entropy of black holes in higher dimensions

Differential structure on κ-Minkowski spacetime realized as module of twisted Weyl algebra

We construct a quantum field theory in noncommutative space time by twisting the algebra of quantum operators (especially, creation and annihilation operators) of the corresponding quantum field theory in commutative space time. The twisted Fock space and $S$-matrix consistent with this algebra have been constructed. The resultant $S$-matrix is consistent with that of Filk [Tomas Filk, Phys. Lett. B 376, 53 (1996).]. We find from this formulation that the spin-statistics relation is not violated in the canonical noncommutative field theories.

Jae Hyung Yee

Papers

κ-deformed spacetime from twist

Unitarity in space–time noncommutative field theories

Renormalized thermodynamic entropy of black holes in higher dimensions

Differential structure on κ-Minkowski spacetime realized as module of twisted Weyl algebra

Noncommutative Field Theory from twisted Fock space