A pedagogical and self-contained introduction to noncommutative quantum field theory is
presented, with emphasis on those properties that are intimately tied to string theory and …

One of the aims of this book is to explain in a basic manner the seemingly difficult issues of
mathematical structure using some specific examples as a guide. In each of the cases …

arxiv:hep-th/0007046v2 21 Jul 2000 Page 1 arxiv:hep-th/0007046v2 21 Jul 2000 July 2000
UMTG - 233 Star operation in Quantum Mechanics ∗ L. Mezincescu† Department of Physics …

In this lecture notes we explain and discuss some ideas concerning noncommutative
geometry in general, as well as noncommutative field theories and string field theories. We …

We present a rigorous proof of the convergence theorem for the Feynman graphs in arbitrary
massive euclidean quantum field theories on non-commutative Rd (NQFT). We give a …

It is argued that the quadratic and linear non-commutative IR divergences that occur in U (1)
theory on non-commutative Minkowski space–time for small non-commutativity matrices θμν …

We show that the classic results of Schwinger on the exact propagation of particles in the
background of constant field-strengths and plane waves can be readily extended to the case …

We review some recent results related to the notion of volume independence in SU (N) Yang–
Mills theories. The topic is discussed in the context of gauge theories living on a d …

A one-loop renormalization group (RG) analysis is performed for noncommutative Landau–
Ginsburg theory in an arbitrary dimension. We adopt a modern version of the Wilsonian RG …

We show that the Ultraviolet/Infrared mixing of noncommutative field theories with the
Grönewold-Moyal product, whereby some (but not all) ultraviolet divergences become …