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Conformal windows of SP(2N) and SO(N) gauge theories from topological excitations on Bbb R3 × S1

Siavash Golkar

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We derive an estimate of the lower boundary of the conformal window of SP(2N) and SO(N) gauge theories with fermionic matter in several different representations. We calculate the index of topological excitations for these groups on the manifold Bbb R3 × S1, from which we deduce the scale of the generation of the mass gap of the theory. This is then used to approximate the critical value of the number of species nf* for the onset of conformality on Bbb R4. We also provide a detailed comparison with other estimates of the conformal window.

Keywords

Nonperturbative Effects

Confinement

Solitons Monopoles and Instantons

Lattice Quantum Field Theory

 

E-print Number: 0909.2838

Cited: by |

Refers: to

PACS

11.25.Hf Conformal field theory, algebraic structures

11.30.Ly Other internal and higher symmetries

11.15.Ex Spontaneous breaking of gauge symmetries

Subjects

Particle physics and field theory

Dates

Issue 11 (November 2009)

Received 6 October 2009, accepted for publication 27 October 2009

Published 17 November 2009



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