Defining < A^2 > in the finite volume hamiltonian formalism
| dc.creator | Stodolsky, L. | |
| dc.creator | van Baal, Pierre | |
| dc.creator | Zakharov, V. I. | |
| dc.date | 2002-10-22 | |
| dc.date | 2002-12-04 | |
| dc.date.accessioned | 2026-07-07T11:32:06Z | |
| dc.date.available | 2026-07-07T11:32:06Z | |
| dc.description | It is shown how in principle for non-abelian gauge theories it is possible in the finite volume hamiltonian framework to make sense of calculating the expectation value of ||A||^2=\int d^3x(A^a_i(x))^2. Gauge invariance requires one to replace ||A||^2 by its minimum over the gauge orbit, which makes it a highly non-local quantity. We comment on the difficulty of finding a gauge invariant expression for ||A||^2_{min} analogous to that found for the abelian case, and the relation of this question to Gribov copies. We deal with these issues by implementing the hamiltonian on the so-called fundamental domain, with appropriate boundary conditions in field space, essential to correctly represent the physics of the problem. | |
| dc.description | 13 pages, 2 figures (in 3 parts). Amended references. Modified introduction. Version accepted for publication | |
| dc.identifier | https://arxiv.org/abs/hep-th/0210204 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0210204 | |
| dc.identifier | Phys.Lett.B552:214-222,2003 | |
| dc.identifier | doi:10.1016/S0370-2693(02)03162-3 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/197484 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Defining < A^2 > in the finite volume hamiltonian formalism | |
| dc.type | text |