656 research outputs found
Induced Chern-Simons terms
We examine the claim that the effective action of four-dimensional SU(2)_L
gauge theory at high and low temperature contains a three-dimensional
Chern-Simons term with coefficient being the chemical potential for baryon
number. We perform calculations in a two-dimensional toy model and find that
the existence of the term is rather subtle.Comment: 12 pages, LaTe
Algebraic pairs of isometries
We consider pairs of commuting isometries that are annihilated by a
polynomial. We show that the polynomial must be inner toral, which is a
geometric condition on its zero set. We show that cyclic pairs of commuting
isometries are nearly unitarily equivalent if they are annihilated by the same
minimal polynomial
Aspects of Non-commutative Function Theory
We discuss non commutative functions, which naturally arise when dealing with
functions of more than one matrix variable
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