The Path Integral for 1+1-dimensional QCD
نویسندگان
چکیده
We derive a path integral expression for the transition amplitude in 1+1-dimensional QCD starting from canonically quantized QCD. Gauge fixing after quantization [1] leads to a formulation in terms of gauge invariant but curvilinear variables. Remainders of the curved space are Jacobians, an effective potential, and sign factors just as for the problem of a particle in a box. Based on this result we derive a Faddeev-Popov like expression for the transition amplitude avoiding standard infinities that are caused by integrations over gauge equivalent configurations. [email protected]
منابع مشابه
/ 93 11 06 6 v 1 1 0 N ov 1 99 3 PATH INTEGRAL APPROACH TO TWO - DIMENSIONAL QCD IN THE LIGHT - FRONT
Two-dimensional quantum chromodynamics in the light-front frame is studied following hamiltonian methods. The theory is quantized using the path integral formalism and an effective theory similar to the Nambu-Jona Lasinio model is obtained. Confinement in two dimensions is derived by analyzing directly the constraints in the path integral.
متن کاملSuper Wilson Loops in Planar QCD
In the planar limit of QCD meson correlation functions can be written as a path-integral for a spin-half particle with each path being weighted by the expectation value of the corresponding Super Wilson Loop. An important quantity in this context is the expectation value of the Super Wilson Loop averaged over loops of fixed length. I obtain the leading and the sub-leading length dependence for ...
متن کاملPolyakov’s spin factor and new algorithms for efficient perturbative computations in QCD
Polyakov’s spin factor enters as a weight in the path-integral description of particlelike modes propagating in Euclidean space-times, accounting for particle spin. The Fock-Feynman-Schwinger path integral applied to QCD accomodates Polyakov’s spin factor in a natural manner while, at the same time, it identifies Wilson line (loop) operators as sole agents of interaction dynamics among matter a...
متن کاملar X iv : h ep - l at / 9 81 10 25 v 1 1 9 N ov 1 99 8 1 Quantum Spins and Quantum Links : The D - Theory Approach to Field Theory
A new non-perturbative approach to quantum field theory is proposed. Instead of performing a path integral over configurations of classical fields, D-theory works with discrete quantized variables. Classical spin fields are replaced by quantum spins, and classical gauge fields are replaced by quantum links. The classical fields of a d-dimensional quantum field theory reappear as low-energy effe...
متن کامل/ 0 20 80 02 v 1 1 A ug 2 00 2 The chemical potential in the transfer matrix and in the path integral formulation of QCD on a lattice Fabrizio Palumbo
We define the chemical potential as the Lagrange multiplier of the baryon charge operator in the transfer matrix formalism of QCD on a lattice. Transforming the partition function into an euclidean path integral we get the Hasenfratz-Karsh action both for Wilson and Kogut-Susskind fermions. In the latter case the chemical potential in the spin-diagonal basis is half that in the flavour basis. S...
متن کامل