5,477 research outputs found
A novel strong coupling expansion of the QCD Hamiltonian
Introducing an infinite spatial lattice with box length a, a systematic
expansion of the physical QCD Hamiltonian in \lambda = g^{-2/3} can be
obtained. The free part is the sum of the Hamiltonians of the quantum mechanics
of spatially constant fields for each box, and the interaction terms
proportional to \lambda^n contain n discretised spatial derivatives connecting
different boxes. As an example, the energy of the vacuum and the lowest scalar
glueball is calculated up to order \lambda^2 for the case of SU(2) Yang-Mills
theory.Comment: Talk given at the 6th International Workshop on "Critical Point and
Onset of Deconfinement (CPOD)", Dubna, Russia, 23-29 August 201
On Unconstrained SU(2) Gluodynamics with Theta Angle
The Hamiltonian reduction of classical SU(2) Yang-Mills field theory to the
equivalent unconstrained theory of gauge invariant local dynamical variables is
generalized to the case of nonvanishing theta angle. It is shown that for any
theta angle the elimination of the pure gauge degrees of freedom leads to a
corresponding unconstrained nonlocal theory of self-interacting second rank
symmetric tensor fields, and that the obtained classical unconstrained
gluodynamics with different theta angles are canonically equivalent as on the
original constrained level.Comment: 13 pages Revtex, no figures; several misprints corrected; version to
appear in Eur. Phys. J.
Sufficient conditions for the anti-Zeno effect
The ideal anti-Zeno effect means that a perpetual observation leads to an
immediate disappearance of the unstable system. We present a straightforward
way to derive sufficient conditions under which such a situation occurs
expressed in terms of the decaying states and spectral properties of the
Hamiltonian. They show, in particular, that the gap between Zeno and anti-Zeno
effects is in fact very narrow.Comment: LatEx2e, 9 pages; a revised text, to appear in J. Phys. A: Math. Ge
Theory of non-Fermi liquid and pairing in electron-doped cuprates
We apply the spin-fermion model to study the normal state and pairing
instability in electron-doped cuprates near the antiferromagnetic QCP. Peculiar
frequency dependencies of the normal state properties are shown to emerge from
the self-consistent equations on the fermionic and bosonic self-energies, and
are in agreement with experimentally observed ones. We argue that the pairing
instability is in the channel, as in hole-doped cuprates, but
theoretical is much lower than in the hole-doped case. For the same
hopping integrals and the interaction strength as in hole-doped materials, we
obtain K at the end point of the antiferromagnetic phase. We argue
that a strong reduction of in electron-doped cuprates compared to
hole-doped ones is due to critical role of the Fermi surface curvature for
electron-doped materials. The -pairing gap
is strongly non-monotonic along the Fermi surface.
The position of the gap maxima, however, does not coincide with the hot spots,
as the non-monotonic gap persists even at doping when the hot
spots merge on the Brillouin zone diagonals.Comment: 16 page
Gravitational and electromagnetic fields near an anti-de Sitter-like infinity
We analyze asymptotic structure of general gravitational and electromagnetic
fields near an anti-de Sitter-like conformal infinity. Dependence of the
radiative component of the fields on a null direction along which the infinity
is approached is obtained. The directional pattern of outgoing and ingoing
radiation, which supplements standard peeling property, is determined by the
algebraic (Petrov) type of the fields and also by orientation of principal null
directions with respect to the timelike infinity. The dependence on the
orientation is a new feature if compared to spacelike infinity.Comment: 4 pages, 2 figure
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