10,339 research outputs found
Multi-Periodic Coherent States and the WKB-Exactness
We construct the path integral formula in terms of ``multi-periodic''
coherent state as an extension of the Nielsen-Rohrlich formula for spin. We
make an exact calculation of the formula and show that, when a parameter
corresponding to the magnitude of spin becomes large, the leading order term of
the expansion coincides with the exact result. We also give an explicit
correspondence between the trace formula in the multi-periodic coherent state
and the one in the ``generalized'' coherent state.Comment: 28 pages, late
Multi-Periodic Coherent States and the WKB-Exactness II ``Non-compact Case and Classical theories Revisited''
We show that the WKB approximation gives the exact result in the trace
formula of ``'', which is the non-compact counterpart of , in terms
of the ``multi-periodic'' coherent state. We revisit the symplectic 2-forms on
and and, especially, construct that on with the unitary
form. We also revisit the exact calculation of the classical patition functions
of them.Comment: LaTeX, 29 page
Asymptotic form of two-point correlation function of the XXZ spin chain
Correlation functions of the XXZ spin chain in the critical regime is studied
at zero-temperature. They are exactly represented in the Fredholm determinant
form and are related with an operator-valued Riemann-Hilbert problem. Analyzing
this problem we prove that a two-point correlation function consisting of
sufficiently separated spin operators is expressed by power-functions of the
distance between those operators.Comment: 9 pages, LaTeX2e (+ amssymb, amsthm); Proof of Lemma 1 is revise
Melting the Color Glass Condensate at the LHC
The charged particle multiplicity in central AA collisions and the production
of heavy flavors in pA collisions at the LHC is predicted in the CGC framework.Comment: Presented at the Workshop on Heavy Ion Collisions at the LHC: Last
Call for Predictions, Geneva, Switzerland, 14 May - 8 Jun 2007; 2 pages, 3
figure
Heavy flavor production in pA collisions
Heavy quark production in high-energy proton-nucleus (pA) collisions is
described in the framework of the Color Glass Condensate. kT factorization is
broken even at leading order albeit a more general factorization in pA holds at
this order in terms of 2, 3 and 4 point correlators of Wilson lines in the
nuclear target. The x-evolution of these correlators is computed in the large A
and large N mean field limit of the Balitsky-Kovchegov equation. We show
results for heavy quark production at RHIC and LHC energies.Comment: Talk given at QM2006. 4
Exact solution of Riemann--Hilbert problem for a correlation function of the XY spin chain
A correlation function of the XY spin chain is studied at zero temperature.
This is called the Emptiness Formation Probability (EFP) and is expressed by
the Fredholm determinant in the thermodynamic limit. We formulate the
associated Riemann--Hilbert problem and solve it exactly. The EFP is shown to
decay in Gaussian.Comment: 7 pages, to be published in J. Phys. Soc. Jp
Formal Relation among Various Hermitian and non-Hermitian Effective Interactions
A general definition of the model-space effective interaction is given. The
energy-independent effective hamiltonians derived in a time-independent way are
classified systematically.Comment: To appear in IJMPE; Proceedings of "Blueprints for the Nucleus,"
Istanbul, Turkey, May 200
An analytic study towards instabilities of the glasma
Strong longitudinal color flux fields will be created in the initial stage of
high-energy nuclear collisions. We investigate analytically time evolution of
such boost-invariant color fields from Abelian-like initial conditions, and
next examine stability of the boost-invariant configurations against rapidity
dependent fluctuations. We find that the magnetic background field has an
instability induced by the lowest Landau level whose amplitude grows
exponentially. For the electric background field there is no apparent
instability although pair creations due to the Schwinger mechanism should be
involved.Comment: 4p, 3figs; poster contribution to QM200
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