Loop states in lattice gauge theory
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
Supercomputers have recently become a crucial tool for the quantum field the-orist. Applied to the formalism of lattice gauge theory, numerical simulations are providing fundamental quantitative information about the interactions of quarks, the fundamental constituents of those particles which experience nuclear interactions. Perhaps most strikingly, these simulations have provided convincing e...
متن کاملMatrix product representation of gauge invariant states in a Z2 lattice gauge theory
The Gauss law needs to be imposed on quantum states to guarantee gauge invariance when one studies gauge theory in hamiltonian formalism. In this work, we propose an efficient variational method based on the matrix product ansatz for a Z2 lattice gauge theory on a spatial ladder chain. Gauge invariant low-lying states are identified by evaluating expectation values of the Gauss law operator aft...
متن کاملLoop Approach to Lattice Gauge Theories
We solve the Gauss law and the corresponding Mandelstam constraints in the loop Hilbert space HL using the prepotential formulation of (d+1) dimensional SU(2) lattice gauge theory. The resulting orthonormal and complete loop basis, explicitly constructed in terms of the d(2d − 1) prepotential intertwining operators, is used to transcribe the gauge dynamics directly in HL without any redundant g...
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: Physics Letters B
سال: 2006
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2006.08.022