13 research outputs found
On the Electric Charge of Monopoles at Finite Temperature
We calculate the electric charge at finite temperature for non-Abelian
monopoles in spontaneously broken gauge theories with a CP violating
-term. A careful treatment of dyon's gauge degrees of freedom shows
that Witten formula for the dyon charge at , ,
remains valid at .Comment: 13 pages, latex file, no figure
Comments on the U(2) Noncommutative Instanton
We discuss the 't Hoof ansatz for instanton solutions in noncommutative U(2)
Yang-Mills theory. We show that the extension of the ansatz leading to singular
solutions in the commutative case, yields to non self-dual (or self-antidual)
configurations in noncommutative space-time. A proposal leading to selfdual
solutions with Q=1 topological charge (the equivalent of the regular BPST
ansatz) can be engineered, but in that case the gauge field and the curvature
are not Hermitian (although the resulting Lagrangian is real).Comment: Latex file, no figure
Non-Abelian Chern-Simons Vortices
We consider the bosonic sector of a N=2 supersymmetric Chern-Simons-Higgs
theory in 2+1 dimensions. The gauge group is U(1)xU(N) and has N_f flavors of
fundamental matter fields. The model supports non-Abelian (axially symmetric)
vortices when N_f\geq N, which have internal (orientational) moduli. When N_f >
N, the solutions acquire additional collective coordinates parameterizing their
transverse size. We solve the BPS equations numerically and obtain local (N_f =
N) and semi-local (N_f > N) string solutions.Comment: 12 pages, 3 figures. Shortened version, published in Phys. Lett.
Fock Representations of Quantum Fields with Generalized Statistic
We develop a rigorous framework for constructing Fock representations of
quantum fields obeying generalized statistics associated with certain solutions
of the spectral quantum Yang-Baxter equation. The main features of these
representations are investigated. Various aspects of the underlying
mathematical structure are illustrated by means of explicit examples.Comment: 26 pages, Te
Abelian Magnetic Monopole Dominance in Quark Confinement
We prove Abelian magnetic monopole dominance in the string tension of QCD.
Abelian and monopole dominance in low energy physics of QCD has been confirmed
for various quantities by recent Monte Carlo simulations of lattice gauge
theory. In order to prove this dominance, we use the reformulation of continuum
Yang-Mills theory in the maximal Abelian gauge as a deformation of a
topological field theory of magnetic monopoles, which was proposed in the
previous article by the author. This reformulation provides an efficient way
for incorporating the magnetic monopole configuration as a topological
non-trivial configuration in the functional integral. We derive a version of
the non-Abelian Stokes theorem and use it to estimate the expectation value of
the Wilson loop. This clearly exhibits the role played by the magnetic monopole
as an origin of the Berry phase in the calculation of the Wilson loop in the
manifestly gauge invariant manner. We show that the string tension derived from
the diagonal (abelian) Wilson loop in the topological field theory (studied in
the previous article) converges to that of the full non-Abelian Wilson loop in
the limit of large Wilson loop. Therefore, within the above reformulation of
QCD, this result (together with the previous result) completes the proof of
quark confinement in QCD based on the criterion of the area law of the full
non-Abelian Wilson loop.Comment: 33 pages, Latex, no figures, version accepted for publication in
Phys. Rev. D (additions of sec. 4.5 and references, and minor changes
Gauge-Invariant Quasi-Free States on the Algebra of the Anyon Commutation Relations
Let and let , . For and from , we define a function to be equal to if , and to if . Let , () be operator-valued distributions such that is the adjoint of . We say that , satisfy the anyon commutation relations (ACR) if for and for . In particular, for , the ACR become the canonical commutation relations and for , the ACR become the canonical anticommutation relations. We define the ACR algebra as the algebra generated by operator-valued integrals of , . We construct a class of gauge-invariant quasi-free states on the ACR algebra. Each state from this class is completely determined by a positive self-adjoint operator on the real space which commutes with any operator of multiplication by a bounded function . In the case ), we discuss the corresponding particle density . For , using a renormalization, we rigorously define a vacuum state on the commutative algebra generated by operator-valued integrals of . This state is given by a negative binomial point process. A scaling limit of these states as gives the gamma random measure, depending on parameter
Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity
Starting with the Chern-Simons formulation of (2+1)-dimensional gravity we
show that the gravitational interactions deform the Poincare symmetry of flat
space-time to a quantum group symmetry. The relevant quantum group is the
quantum double of the universal cover of the (2+1)-dimensional Lorentz group,
or Lorentz double for short. We construct the Hilbert space of two gravitating
particles and use the universal R-matrix of the Lorentz double to derive a
general expression for the scattering cross section of gravitating particles
with spin. In appropriate limits our formula reproduces the semi-classical
scattering formulae found by 't Hooft, Deser, Jackiw and de Sousa Gerbert.Comment: 45 pages, amslate
Two-Loop O(alpha_s G_F M_Q^2) Heavy-Quark Corrections to the Interactions between Higgs and Intermediate Bosons
By means of a low-energy theorem, we analyze at O(alpha_s G_F M_Q^2) the
shifts in the Standard-Model W^+W^-H and ZZH couplings induced by virtual
high-mass quarks, Q, with M_Q >> M_Z, M_H, which includes the top quark.
Invoking the improved Born approximation, we then find the corresponding
corrections to various four- and five-point Higgs-boson production and decay
processes which involve the W^+W^-H and ZZH vertices with one or both of the
gauge bosons being connected to light-fermion currents, respectively. This
includes e^+e^- -> f anti-f H via Higgs-strahlung, via W^+W^- fusion (with f =
nu_e), and via ZZ fusion (with f = e), as well as H -> 2V -> 4f (with V = W,
Z).Comment: 20 pages (Latex); Physical Review D (to appear
Relativistic Laser-Matter Interaction and Relativistic Laboratory Astrophysics
The paper is devoted to the prospects of using the laser radiation
interaction with plasmas in the laboratory relativistic astrophysics context.
We discuss the dimensionless parameters characterizing the processes in the
laser and astrophysical plasmas and emphasize a similarity between the laser
and astrophysical plasmas in the ultrarelativistic energy limit. In particular,
we address basic mechanisms of the charged particle acceleration, the
collisionless shock wave and magnetic reconnection and vortex dynamics
properties relevant to the problem of ultrarelativistic particle acceleration.Comment: 58 pages, 19 figure