12710825
Coherent state quantization of SU(N) non-Abelian Chern-Simons particles
Abstract We present a new method of formulating the classical theory of SU( N + 1) non-Abelian Chern-Simons (NACS) particles for arbitrary N ⩾ 1 using the symplectic reduction of CP( N ) manifold from S 2 N +1 . Quantizing the theory using BRST formulation and coherent state path integral method, we obtain a quantum mechanical model for SU( N + 1) NACS particles.
18394193
Topological Ward identity and anti-de Sitter space / CFT correspondence
Abstract The dual relationship between the supergravity in the anti-de Sitter (AdS) space and the superconformal field theory is discussed in the simplest form. We show that a topological Ward identity holds in the three dimensional Chern–Simons gravity. In this simple case the proposed dual relationship can be understood as the topological Ward identity. Extensions to the supersymmetric theories and higher dimensional ones are also briefly discussed.
117114158
Relativistic Anyon and (2+1) Dimensional Gravity
56316687
Quantum Brownian Motion on a Triangular Lattice and Fermi-Bose Equivalence: An Application of Boundary State Formulation
We discuss the Bose-Fermi equivalence in the quantum Brownian motion (QBM) on a triangular lattice, mapping the action for the QBM into a string theory action with a periodic boundary tachyon potential. We construct new Klein factors which are more appropriate than the conventional ones to deal with the quantum field theories defined on a two dimensioanl space-time with boundaries. Using the Fermi-Bose equivalence with the new Klein factors, we show that the model for the quantum Bownian motion on a triangular lattice is equivalent to the Thirring model with boundary terms, which are quadratic in fermion field operators, in the off-critical regions and to a SU(3) × SU(3) free fermion theory with quadratic boundary terms at the critical point.
119401888
Tachyon condensation, boundary state, and noncommutative solitons
We discuss tachyon condensation in a single unstable D-brane in the framework of the boundary state formulation. The boundary state in the background of tachyon condensation and the Neveu-Schwarz B-field is explicitly constructed. We show in both commutative theory and noncommutative theory that the unstable D-branes behave like an extended object and eventually reduce to lower dimensional D-branes as the system approaches the infrared fixed point. We clarify the relationship between the commutative field theoretical description of tachyon condensation and the noncommutative one.
118937531
Discrete light cone quantization of anti-de Sitter black hole and black string
10700275
One-loop effective brane action
The one-loop effective action for a p brane embedded in a D = p+2 Minkowski spacetime in the static gauge is calculated. Rescaling the quantum fluctuation by (−g0)1/2 evaluated on the background brane leads to the one-loop effective action expressed only in terms of infrared and ultraviolet divergent geometric scalars. After the infrared divergences are absorbed into the quantum fluctuation, there remains the finite number of ultraviolet divergences. This implies that the D = p+2 Poincare symmetry and the D = p+1 general coordinate invariance are preserved in one-loop order.
10685204
Higher dimension operators and chiral symmetry breaking in Nambu–Jona-Lasinio model
Abstract We point out that adding higher dimension operators to the Nambu–Jona-Lasinio model can stabilize chiral symmetry breaking and resolve the issue raised by Kleinert and Van den Bossche that chiral symmetry breaking cannot occur for N c ≤ N c cr due to large quantum fluctuations of the composite fields.
14559352
Estimating higher order perturbative coefficients using Borel transform
A new method of estimating higher order perturbative coefficients is discussed. It exploits the rapid, asymptotic growth of perturbative coefficients and the information on the singularities in the complex Borel plane. A comparison with other methods is made in several Quantum Chromodynamics (QCD) expansions.
118864807
Particle with non-Abelian charge: classical and quantum
We study the action for a non-Abelian charged particle in a non-Abelian background field in the worldline formalism, described by real bosonic variables, leading to the well known equations given by Wong. The isospin parts in the action can be viewed as the Lagrange multiplier term corresponding to a non-holonomic constraint restricting the isospins to be parallel transported. The path integration is performed over the isospin variables and as a result, the worldlines turn out to be constrained by the classical solutions for the isospins. We derive a wave equation from the path integral, constructed as the constrained Hamiltonian operator acting on the wave function. The operator ordering corresponding to the quantum Hamiltonian is found and verified by the inverse Weyl transformation.
18339659
Resummations with renormalon effects for the leading hadronic contribution to the muon (g-2)
The leading hadronic contribution to the muon (g − 2) value is calculated by considering a known dispersion integral which involves the Re+e−(s) ratio. The theoretical part stemming from the region below 1.8 GeV is calculated by using a contour integral involving the associated Adler function D(Q2). In the resummations, we account for the renormalon structure of the usual and the modified Borel transform of D(Q2) via an explicit ansatz and by employing judiciously chosen conformal transformations. This pushes the value of the leading hadronic contribution to the muon (g − 2)/2 upwards as compared to the value given by Davier and Höcker [Phys. Lett. B435 (1998) 427], and therefore diminishes the difference between the recently measured and the SM/QCD-predicted value of (g − 2). Typeset using REVTEX