The Algebra of Physical Observables in Nonlinearly Realized Gauge Theories

Details The Algebra of Physical Observables in Nonlinearly Realized Gauge Theories The Algebra of Physical Observables in Nonlinearly Realized Gauge Theories

2010-07-23

arxiv.org/abs/1007.4078v1

Eur.Phys.J.C70:479-489,2010

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 1 figure

Scientific paper

10.1140/epjc/s10052-010-1440-1

We classify the physical observables in spontaneously broken nonlinearly realized gauge theories in the recently proposed loopwise expansion governed by the Weak Power-Counting (WPC) and the Local Functional Equation. The latter controls the non-trivial quantum deformation of the classical nonlinearly realized gauge symmetry, to all orders in the loop expansion. The Batalin-Vilkovisky (BV) formalism is used. We show that the dependence of the vertex functional on the Goldstone fields is obtained via a canonical transformation w.r.t. the BV bracket associated with the BRST symmetry of the model. We also compare the WPC with strict power-counting renormalizability in linearly realized gauge theories. In the case of the electroweak group we find that the tree-level Weinberg relation still holds if power-counting renormalizability is weakened to the WPC condition.

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