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http://inspirehep.net/record/499969/files/arXiv:hep-th_9905111.pdf

Large N Field Theories, String Theory and Gravity

To say that this is the best book on the quantum theory of fields is no praise, since to my knowledge it is the only book on this subject But it is a very good and most useful book The original was written in German and appeared in 1942 This is a translation with some minor changes A few remarks have been added, concerning meson theory and nuclear forces, also footnotes referring to modern work in this field, and finally an appendix on the symmetrization of the energy momentum tensor according to Belinfante Quantum Theory of Fields Prof Gregor Wentzel Translated from the German by Charlotte Houtermans and J M Jauch Pp ix + 224, (New York and London: Interscience Publishers, Inc, 1949) 36s

Quantum Theory of Fields

This article reviews the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, on both the classical and the quantum level.

Noncommutative field theory

Superstring theoryをめぐって(放談室)

The relationship between the Poincare and Galilei groups allows us to write the Poincare wave equations for arbitrary spin as a Fourier transform of the Galilean ones. The relation between the Lagrangian formulation for both cases is also studied.

/pdf/poincare-wave-equations-as-fourier-transforms-of-galilei-10jc5g4idm.pdf

Poincaré wave equations as Fourier transforms of Galilei wave equations

We raise the issue whether gauge theories, that are not renormalizable in the usual power-counting sense, are nevertheless renormalizable in the modern sense that all divergences can be cancelled by renormalization of the infinite number of terms in the bare action. We find that a theory is renormalizable in this sense if the {\em a priori} constraints that we impose on the form of the bare action correspond to the cohomology of the BRST transformations generated by the action. Recent cohomology theorems of Barnich, Brandt, and Henneaux are used to show that conventionally nonrenormalizable theories of Yang-Mills fields (such as quantum chromodynamics with heavy quarks integrated out) and/or gravitation are renormalizable in the modern sense.

Are Nonrenormalizable Gauge Theories Renormalizable

Two applications of the canonical-transformation theory for presymplectic systems developed in a previous paper are presented: a new approach to the extended formalism for the time-dependent systems and the relativistic free massive point. For this last system some examples of canonical transformations are constructed explicitly.

Applications of the canonical-transformation theory for presymplectic systems

We study systematically various extensions of the Poincare superalgebra. The most general structure starting from a set of spinorial supercharges Q is a free Lie superalgebra that we discuss in detail. We explain how this universal extension of the Poincare superalgebra gives rise to many other algebras as quotients, some of which have appeared previously in various places in the literature. In particular, we show how some quotients can be very neatly related to Borcherds superalgebras. The ideas put forward also offer some new angles on exotic branes and extended symmetry structures in M-theory.

/pdf/symmetries-of-m-theory-and-free-lie-superalgebras-2pkm8zssi3.pdf

Symmetries of M-theory and free Lie superalgebras

We show how the worldvolume realization of the Hanany-Witten effect for a supersymmetric D5-brane in a D3 background also provides a classical realization of the `s-rule' exclusion principle. Despite the supersymmetry, the force on the D5-brane vanishes only in the D5 `ground state', which is shown to interpolate between 6-dimensional Minkowski space and an OSp(4*|4)-invariant AdS2 × S4 geometry. The M-theory analogue of these results is briefly discussed.

Joaquim Gomis

Papers

Poincaré wave equations as Fourier transforms of Galilei wave equations

Are Nonrenormalizable Gauge Theories Renormalizable

Applications of the canonical-transformation theory for presymplectic systems

Symmetries of M-theory and free Lie superalgebras

The 's-rule' exclusion principle and vacuum interpolation in worldvolume dynamics