Path integral loop representation of 2+1 lattice non-Abelian gauge theories
نویسندگان
چکیده
منابع مشابه
On the Path Integral Loop Representation of ( 2 + 1 ) Lattice Non - Abelian Gauge Theoriesj
A gauge invariant Hamiltonian representation for SU(2) in terms of a spin network basis is introduced. The vectors of the spin network basis are independent and the electric part of the Hamiltonian is diagonal in this representation. The corresponding path integral for SU(2) lattice gauge theory is expressed as a sum over colored surfaces, i.e. only involving the jp attached to the lattice plaq...
متن کاملNon-Abelian SU(2) Lattice Gauge Theories in Superconducting Circuits.
We propose a digital quantum simulator of non-Abelian pure-gauge models with a superconducting circuit setup. Within the framework of quantum link models, we build a minimal instance of a pure SU(2) gauge theory, using triangular plaquettes involving geometric frustration. This realization is the least demanding, in terms of quantum simulation resources, of a non-Abelian gauge dynamics. We pres...
متن کاملOn the loop–loop scattering amplitudes in Abelian and non–Abelian gauge theories
The high–energy elastic scattering amplitude of two colour–singlet qq̄ pairs is governed by the correlation function of two Wilson loops, which follow the classical straight lines for quark (antiquark) trajectories. This quantity is expected to be free of IR divergences, differently from what happens for the parton–parton elastic scattering amplitude, described, in the high–energy limit, by the ...
متن کاملAbelian and Nonabelian Lattice Chiral Gauge Theories through Gauge Fixing
After an introduction in which we review the fundamental difficulty in constructing lattice chiral gauge theories, we summarize the analytic and numerical evidence that abelian lattice chiral gauge theories can be nonperturbatively constructed through the gauge-fixing approach. In addition, we indicate how we believe that the method may be extended to nonabelian chiral gauge theories.
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: Physical Review D
سال: 1998
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.58.045007