122160422
The Ricci curvature of Diff S1/SL(2, R)
Previous calculations of the Ricci curvature for the manifold Diff Diff(S1)/S1 are extended to Diff(S1)/SL(2R ). These manifolds are distinguished by being coadjoint orbits of Diff(S1) which admit compatible symphectic and complex structures, making them Kahler manifolds.
121951212
The low energy limit of string theory from the geometry of loop space
Abstract We show that the massless fields of the low-energy limit of the closed bosonic string are the unique set of fields which follow the existence of a certain symplectic structure on the loop space associated with the full string theory.
1061278
Parallel Transport over Path Spaces
We develop a differential geometric framework for parallel transport over path spaces and a corresponding discrete theory, an integrated version of the continuum theory, using a category-theoretic framework.
115168470
Generalized vector field
We define generalized vector fields, and contraction and Lie derivatives with respect to them. Generalized commutators are also defined.
14702223
Axionic black holes from massive axions
Abstract A black hole may carry axionic charge in a theory which has gravity coupled to a massless two-form Kalb-Ramond field. We show that this effect persists if the axion has a topological mass term coupling the Kalb-Ramond potential to a U(1) gauge field. Such mass terms arise in the low-energy effective theory of the string.
118968511
A first book of quantum field theory
Preface to the Second Edition / Preface to the First Edition / Preliminaries / Classical Field Theory / Quantization of scalar fields / Quantization of Dirac Fields / The S-matrix expansion / From Wick expansion to Feynman diagrams / Cross sections and decay rates / Quantization of the electromagnetic field / Quantum electrodynamics / P, T, C and their Combinations / Electromagnetic form factors / Renormalization / Symmetries and symmetry breaking / Yang-Mills theory of non-Abelian gauge fields / Standard electroweak theory / Useful Formulas / Answers to Selected Exercises / Index
117770423
Shear viscosity due to Landau damping from the quark-pion interaction
We have calculated the shear viscosity coefficient $\ensuremath{\eta}$ of the strongly interacting matter in the relaxation time approximation, where a quasiparticle description of quarks with their dynamical masses is considered from the Nambu-Jona-Lasinio model. Due to the thermodynamic scattering of quarks with pseudoscalar-type condensate (i.e., pion), a nonzero Landau damping will be acquired by the propagating quarks. This Landau damping may be obtained from the Landau cut contribution of the in-medium self-energy of a quark-pion loop, which is evaluated in the framework of real-time thermal field theory.
116271100
Correlation between conserved charges in PNJL Model with multi-quark interactions
We present a study of correlations among conserved charges like baryon number, electric charge and strangeness in the framework of 2+1 flavor Polyakov loop extended Nambu-Jona-Lasinio model at vanishing chemical potentials, up to fourth order. Correlations up to second order have been measured in Lattice QCD which compares well with our estimates given the inherent difference in the pion masses in the two systems. Possible physical implications of these correlations and their importance in understanding the matter obtained in heavy-ion collisions are discussed. We also present comparison of the results with the commonly used unbound effective potential in the quark sector of this model.
99532809
QCD phase diagram using PNJL model with eight-quark interactions
Abstract We present the phase diagram and the fluctuations of different conserved charges like quark number, charge and strangeness at vanishing chemical potential for the 2+1 flavor Polyakov Loop extended Nambu-Jona-Lasinio model with eight-quark interaction terms using three-momentum cutoff regularisation. The main effect of the higher order interaction term is to shift the critical end point to the lower value of the chemical potential and higher value of the temperature. The fluctuations show good qualitative agreement with the lattice data.