Group projection method in statistical systems

Physics – High Energy Physics – High Energy Physics - Phenomenology

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Invited talk presented at the XXIV International Colloquium on Group Theoritical Methods in Physics

Scientific paper

We discuss an application of group theoretical methods to the formulation of the thermodynamics of systems constrained by the conservation laws described by a semi--simple compact Lie group. A general projection method that allows to construct a partition function for a given irreducible representation of the Lie group is outlined. Applications of the method in Lattice Gauge Theory (LGT) for non--zero baryon number and in the phenomenological description of particle production in ultrarelativistic heavy ion collisions are also indicated.

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