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Duality between constraints and gauge conditions
Author(s) -
Stoilov M.N.
Publication year - 2007
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.200710247
Subject(s) - physics , hamiltonian (control theory) , coulomb , eigenfunction , mathematical physics , hypergeometric function , fermion , bound state , gauge theory , quantum mechanics , quantum electrodynamics , eigenvalues and eigenvectors , mathematical analysis , mathematics , mathematical optimization , electron
There are two important sets of seemingly absolutely different objects in any gauge theory: the set of constraints, which generate the local symmetry and the set of gauge conditions, which fix this symmetry; the first one is determined by the Lagrangean of the model, the second is a matter of choice. However, in the transition amplitude constraints and gauge conditions participate in exactly the same way. This suggests the possibility for existence of a model with the same transition amplitude and in which gauge conditions and constraints are interchanged. We investigate the conditions that gauge fixing terms should satisfy so that this dual picture is allowed. En route, we propose to add new terms in the constraints which would generate the gauge transformation of the Lagrange multipliers and construct two BRST charges – one, as usual, for the constraints, and one for the gauge conditions.