We investigate the nonperturbative structure of Jackiw-Teitelboim gravity at finite cutoff, as given by its proposed formulation in terms a $T\bar{T}$-deformed Schwarzian quantum mechanics. Our starting point is careful computation disk partition function to all orders perturbative expansion cutoff parameter. show that series asymptotic and it admits precise completion exploiting analytical pro...

Starting with the Chern-Simons formulation of (2+1)-dimensional gravity we show that the gravitational interactions deform the Poincaré symmetry of flat spacetime to a quantum group symmetry. The relevant quantum group is the quantum double of the universal cover of the (2+1)-dimensional Lorentz group, or Lorentz double for short. We construct the Hilbert space of two gravitating particles and ...

We present a simple and complete variational approach to the one-dimensional quantum Frenkel-Kontorova model. Dirac's time-dependent variational principle is adopted together with a Hartree-type many-body trial wave function for the atoms. The single-particle state is assumed to have the Jackiw-Kerman form. We obtain an effective classical Hamiltonian for the system, which is simple enough for ...

We study bosonization ambiguities in two dimensional quantum electrodynamics in the presence and in the absence of topologically charged gauge fields. The computation of fermionic correlation functions suggests that ambiguities may be absent in nontrivial topologies, provided that we do not allow changes of sector as we evaluate functional integrals. This would remove an infinite arbitrariness ...

We present a method to estimate the matrix element of the singlet axial current within a polarized proton state using lattice QCD. The method relies on using the Adler-Bell-Jackiw anomaly and gives the desired result in the chiral limit. We show that this method fails in the quenched approximation. For heavy quarks one does not expect much diierence between simulations including dynamical quark...

We construct a lattice model of compact (2+1)-dimensional Maxwell-Chern-Simons theory, starting from its formulation in terms of gauge invariant quantities proposed by Deser and Jackiw. We thereby identify the topological excitations and their interactions. These consist of monopole-antimonopole pairs bounded by strings carrying both magnetic flux and electric charge. The electric charge render...

The moduli space dynamics of vortices in the Jackiw-Pi model where a non-relativistic Schrödinger field couples minimally to Chern-Simons gauge field, is considered. It is shown that the difficulties in direct application of Manton’s method to obtain a moduli-space metric in the first order system can be circumvented by turning the Lagrangian into a second order system. We obtain exact metrics ...

Broken gauge symmetries are typically restored at high temperature, and the leadingorder result for the critical temperature Tc was found many years ago by Weinberg and by Dolan and Jackiw. I find a simple expression for the next-to-leading order correction to Tc, which is order eTc where e is the gauge coupling. The result is a simple consequence of recent work on summing ring diagrams at high...