The Conformal Window from the Worldline Formalism

Details The Conformal Window from the Worldline Formalism The Conformal Window from the Worldline Formalism

2009-07-23

arxiv.org/abs/0907.4091v2

Nucl.Phys.B826:328-336,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages. 4 eps figures. v2: refs. added. To appear in Nuclear Physics B

Scientific paper

10.1016/j.nuclphysb.2009.10.010

We use the worldline formalism to derive a universal relation for the lower boundary of the conformal window in non-supersymmetric QCD-like theories. The derivation relies on the convergence of the expansion of the fermionic determinant in terms of Wilson loops. The expansion shares a similarity with the lattice strong coupling expansion and the genus expansion in string theory. Our result relates the lower boundary of the conformal window in theories with different representations and different gauge groups. Finally, we use SQCD to estimate the boundary of the conformal window in QCD-like theories and compare it with other approaches.

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