On the existence of the functional measure for 2D Yang-Mills theory

Robert Budzyński

Displaying similar documents to “On the existence of the functional measure for 2D Yang-Mills theory”

An axiomatic approach to Quantum Gauge Field Theory

Thomas Thiemann (1997)

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In the present article we display a new constructive quantum field theory approach to quantum gauge field theory, utilizing the recent progress in the integration theory on the moduli space of generalized connections modulo gauge transformations. That is, we propose a new set of Osterwalder Schrader like axioms for the characteristic functional of a measure on the space of generalized connections modulo gauge transformations rather than for the associated Schwinger distributions. We...

On the effective action of dressed mean fields for $𝒩 = 4$ super-Yang-Mills theory.

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The singularity structureοf the Yang-Mills configuration space

Jürgen Fuchs (1997)

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The geometric description of Yang–Mills theories and their configuration space $ℳ$ is reviewed. The presence of singularities in M is explained and some of their properties are described. The singularity structure is analysed in detail for structure group SU(2). This review is based on [28].

Vacuum Structure of 2+1-Dimensional Gauge Theories

Manuel Asorey, Fernando Falceto, Jose Lopez, Gloria Luzon (1997)

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We analyse some non-perturbative properties of the Yang-Mills vacuum in two-dimensional spaces in the presence of Chern-Simons interactions. We show that the vacuum functional vanishes for some gauge field configurations. We have identified some of those nodal configurations which are characterized by the property of carrying a non-trivial magnetic charge. In abelian gauge theories this fact explains why magnetic monopoles are suppressed by Chern-Simons interactions. In non-abelian theories...

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Geometrical and topological foundations of theoretical physics: from gauge theories to string program.

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Pedro Paulo Schirmer (1991)

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Conical measures and vector measures

Igor Kluvánek (1977)

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Every conical measure on a weak complete space $E$ is represented as integration with respect to a $σ$ -additive measure on the cylindrical $σ$ -algebra in $E$ . The connection between conical measures on $E$ and $E$ -valued measures gives then some sufficient conditions for the representing measure to be finite.