Gauge Field Theory in the Infrared Regime
نویسندگان
چکیده
We propose that the low energy behavior of a pure gauge theory can be studied by simply assuming violation of Lorentz invariance which is implemented through a deformation of the canonical Poisson brackets of the theory depending on an infrared scale. The resulting theory is equivalent to a pure gauge theory with a Chern-Simons like term. It is shown that at low energies this theory can be identified with three dimensional QCD where the mass of the fermion is related to the infrared scale.
منابع مشابه
Infrared Behavior of the Gluon Propagator in Lattice Landau Gauge
We evaluate numerically the four-momentum-space gluon propagator in lattice Landau gauge, for pure SU(2) lattice gauge theory with periodic boundary conditions. Simulations are done in the strong-coupling regime, namely at β = 0, 0.8, 1.2 and 1.6, and for lattice sizes up to 30, 16, 20 and 24 respectively. In the limit of large lattice volume, we observe in all cases a gluon propagator decreasi...
متن کاملString Effects in the Wilson Loop: a high precision numerical test
We test numerically the effective string description of the infrared limit of lattice gauge theories in the confining regime. We consider the 3d ZZ2 lattice gauge theory, and we define ratios of Wilson loops such that the predictions of the effective string theory do not contain any adjustable parameters. In this way we are able to obtain a degree of accuracy high enough to show unambiguously t...
متن کاملنظریه میدان ناجابه‌جایی و پارامترهای نقض لورنتس در QED
Non-commutative field theory as a theory including the Lorentz violation can be constructed in two different ways. In the first method, the non-commutative fields are the same as the ordinary ones while the gauge group is restricted to U(n). For example, the symmetry group of standard model in non-commutative space is U(3)×(2)×U(1) which can be reduced to SU(3)×SU(2)×U(1) by two appropriate spo...
متن کاملInfrared behavior of the ghost propagator in the Landau gauge Yang-Mills theory
We prove that the Faddeev-Popov ghost dressing function in the YangMills theory is non-zero and finite in the limit of vanishing momenta and hence the ghost propagator behaves like free in the deep infrared regime, within the Gribov-Zwanziger framework of the D-dimensional SU(N) Yang-Mills theory in the Landau gauge for any D > 2. This result implies that the Kugo-Ojima color confinement criter...
متن کامل1 Chaotic Quantization of Classical Gauge Fields
We argue that the quantized non-Abelian gauge theory can be obtained as the infrared limit of the corresponding classical gauge theory in a higher dimension. We show how the transformation from classical to quantum field theory emerges, and calculate Planck's constant from quantities defined in the underlying classical gauge theory.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005