I relate the jet-quenching parameter, defined as q̂ = p⊥/λ, for an external quark moving through a thermal plasma of N = 4 gauge theory, to a two-point function of transverse displacements of the quark’s worldline. This two-point function can be computed using the gauge-string duality. I comment on the possible relevance of the string theory calculation to heavy quarks propagating through a quar...

We present an exact formula for the β-function for the soft-breaking scalar mass in an N = 1 supersymmetric gauge theory, in the form of an operator acting on the anomalous dimension. In particular we give the exact form for the correction due to the ǫ-scalar mass, and show that it has a particularly simple form in the renormalisation scheme corresponding to the exact NSVZ gauge β-function.

In earlier works, the gauge theorem was proved for additive functionals of Brownian motion of the form f ~o q(Bs)ds, where q is a function in the Kato class. Subsequently, the theorem was extended to additive functionals with Revuz measures/ t in the Kato class. We prove that the gauge theorem holds for a large class of additive functionals of zero energy which are, in general, of unbounded var...

This paper studies the one-loop expansion of the amplitudes of electromagnetism about flat Euclidean backgrounds bounded by a 3-sphere, recently considered in perturbative quantum cosmology, by using ζ-function regularization. For a specific choice of gauge-averaging functional, the contributions to the full ζ(0) value owed to physical degrees of freedom, decoupled gauge mode, coupled gauge mod...

Conventional lattice gauge theory assigns the lowest spin compatible with the symmetry channel of a given operator to the state coupling to that operator. Operators on a cubic lattice, however, are only defined on angles of π/2, hence states with spin equal modulo 4 may overlap significantly. This paper explores a new technique for generating lattice operators that may be placed onto the lattic...

We investigate the monopole-instanton correlation in SU(2) lattice gauge theory using a renormalisation group inspired smoothing technique. We look at the properties of monopole clusters and their correlation with instantons. Since the action of the smoothed configurations is dominated by instantons we compare the smoothed Monte Carlo lattices to artificially reconstructed configurations with t...

This review emphasizes the close analogy between hard QCD instantoninduced chirality violating processes in deep-inelastic scattering and electroweak instanton-induced baryon plus lepton number (B + L) violating processes in Quantum Flavor Dynamics (QFD). Recent information about QCD instantons, both from lattice simulations and from the H1 experiment at HERA, can be used to learn about the fat...

We study the dual Higgs mechanism for the nonperturbative QCD. We point out two kind of the “seesaw” relations between electric and magnetic sectors. Owing to the Dirac condition eg = 4π, the dual Ginzburg-Landau theory has the asymptotic freedom nature on the gauge coupling constant e, where the “walking coupling constant” is predicted for e in the infrared region. We study also QCD-monopoles ...

We study approximate decimations in SU(N) LGT that connect the short to long distance regimes. Simple ‘bond-moving’ decimations turn out to provide both upper and lower bounds on the exact partition function. This leads to a representation of the exact partition function in terms of successive decimations whose effective couplings flows are related to those of the easily computable bond-moving ...

L4 is the extension in Euclidean time, Z(0) is the lattice Schrödinger functional, without the external background field (U ext μ = 1). It can be shown that: Γ[U ] is invariant for lattice gauge transformations of the external links U ext μ , and limT→∞ Γ[U ] = E0[U ] − E0[0], E0[U ] vacuum energy in presence of the external background field. At finite temperature, we consider the thermal parti...