Loop quantization from a lattice gauge theory perspective
نویسندگان
چکیده
منابع مشابه
The Lagrangian Loop Representation of Lattice U(1) Gauge Theory
It is showed how the Hamiltonian lattice loop representation can be cast straightforwardly in the Lagrangian formalism. The procedure is general and here we present the simplest case: pure compact QED. This connection has been shaded by the non canonical character of the algebra of the fundamental loop operators. The loops represent tubes of electric flux and can be considered the dual objects ...
متن کاملLoop Action for Lattice U(1) Gauge Theory
It is showed that the very recently introduced Lagrangian loop formulation of the lattice Maxwell theory is equivalent to the Villain form in 2+1 dimensions. A transparent description of the classical loop action is given in pure geometrical terms for the 2 + 1 and 3 + 1 dimensional cases. The loop formalism was introduced some time ago as a general analytical Hamiltonian approach based on the ...
متن کاملLattice gauge theory: A retrospective
I am honored to have this opportunity to give the final talk at this wonderful meeting. I was originally asked to talk about “Lattice gauge theory: past, present, and future.” Well, I really don’t know much about the future, and if I did, I would be out trying to develop the ideas. As for the present, well you have for the last few days been hearing all about it, and there is too much for me to...
متن کاملGauge Theory on a Lattice
One approach to field theory, in particular to aspects that are not well treated in perturbation theory, is to approximate the field defined on a spacetime continuum with a lattice field theory, defined on a lattice of space-time points. There has been a great deal of cross-fertilization from considering renormalization from the continuum high-energy physics point of view and from the condensed...
متن کاملGauge Theory on a Lattice
One approach to field theory, in particular to aspects that are not well treated in perturbation theory, is to approximate the field defined on a spacetime continuum with a lattice field theory, defined on a lattice of space-time points. There has been a great deal of cross-fertilization from considering renormalization from the continuum high-energy physics point of view and from the condensed...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2004
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/21/17/l01