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.

We introduce a dual field strength which replaces the gauge connection in Yang-Mills theory. The resulting dualized non-abelian theory leads to Feynman rules and S-matrices equivalent to the original non-abelian gauge theory. We present our new Feynman rules for the case of a spontaneously broken gauge theory.

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.

Recently there has been a revival of interest in noncommutative gauge theories. They are interesting examples of nonlocal field theories which in the certain limit (of large noncommutativity) become essentially equivalent to the large N ordinary gauge theories ; certain supersymmetric versions of noncommutative gauge theories arise as α′ → 0 limit of theories on Dp-branes in the presence of bac...

We construct the Zinn-Justin-Batalin-Vilkovisky action for tachyons and gauge bosons from Witten’s 3-string vertex of the bosonic open string without gauge fixing. Through canonical transformations, we find the off-shell, local, gauge-covariant action up to 3-point terms, satisfying the usual field theory gauge transformations. Perturbatively, it can be extended to higher-point terms. It also g...

We present a unified point of view on the different methods available in the literature to extract gauge theory renormalization constants from the lowenergy limit of string theory. The Bern-Kosower method, based on an off-shell continuation of string theory amplitudes, and the construction of low-energy string theory effective actions for gauge particles, can both be understood in terms of stri...

Some gauge theories for fiber target spaces with degenerate metrics are regarded. The gauge theory with Galilei group G(2) is obtained as a contraction of SO(2) gauge theory with Higgs mechanism. The analogue of the standard electroweak theory for contracted SU(2) group is considered. It is shown that the gauge field theory with degenerate metrics in target (matter) field space describe the sam...

The observable world of physical phenomena is fundamentally governed by quantum gauge field theory (QFT) [16], as was recently once more confirmed by the detection [13] of the Higgs boson [8]. On the other hand, the world of mathematical concepts is fundamentally governed by formal logic, as elaborated in a foundational system such as axiomatic set theory or type theory. Quantum gauge field the...

Extended BRST invariance (BRST plus anti-BRST invariances) provides in principle a natural way of introducing the complete gauge fixing structure associated to a gauge field theory in the minimum representation of the algebra. However, as it happens in topological Yang Mills theory, not all gauge fixings can be obtained from a symmetrical extended BRST algebra, where antighosts belong to the sa...

Physical states of two-dimensional topological gauge theories are studied using the BRST formalism in the light-cone gauge. All physical states are obtained for the abelian theory. There are an infinite number of physical states with different ghost numbers. Simple examples of physical states in a non-abelian theory are also given. Two-dimensional topological gauge theories have recently appear...