38562446
Local symmetries of the non-Abelian two-form
An inhomogeneous gauge transformation law for non-Abelian two-forms in B ^ F type theories is proposed and corresponding invariant actions are discussed. The auxiliary one-form, required for maintaining vector gauge symmetry in some of these theories, transforms like a gauge field, and hence cannot be set to zero by a gauge choice. It can be set equal to the usual gauge field by a gauge choice, leading to gauge equivalences between different types of theories, those with the auxiliary field and those without. A new type of symmetry also appears in some of these theories, one which depends on local functions but cannot be generated by local constraints. The corresponding conserved currents and BRST charges are parametrized by the space of flat connections.
119518829
Monopole confinement by flux tube
We revisit Nambu's model of quark confinement by a tube of magnetic flux, with two additional features. The quarks are taken to be magnetic monopoles external to the tube, which seal the ends, and are also taken to be fermions. This ensures that the model is inconsistent unless there are at least two species of fermions being confined.
119451761
A nilpotent symmetry of quantum gauge theories
For the Becchi-Rouet-Stora-Tyutin invariant extended action for any gauge theory, there exists another off-shell nilpotent symmetry. For linear gauges, it can be elevated to a symmetry of the quantum theory and used in the construction of the quantum effective action. Generalizations for nonlinear gauges and actions with higher-order ghost terms are also possible.
119153408
Path Space Forms and Surface Holonomy
We develop parallel transport on path spaces from a differential geometric approach, whose integral version connects with the category theoretic approach. In the framework of 2‐connections, our approach leads to further development of higher gauge theory, where end points of the path need not be fixed.
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.
115168470
Generalized vector field
We define generalized vector fields, and contraction and Lie derivatives with respect to them. Generalized commutators are also defined.
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.
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.