120385604
Von Hove model of quantum field theory‐from the point of view of infinite dimensional stationary Markov process theory
There are two ways to quantize the classical von Hove model. One way is to quantize the classical von Hove field equation, and the other is to quantize the classical energy functional. In this paper, their relation to each other is pointed out. As an application the second‐order approximate quantization of (φ4)2‐kink field is studied.
116061133
Mathai–Quillen Formalism — From the Point of View of Path Integrals
We present here a path integral derivation of Mathai–Quillen formalism which gives a new interpretation of the Gauss–Bonnet–Chern theorem and Hopf–Poincaré theorem.
125029705
Development of an advanced electropolishing setup for multicell high gradient niobium cavities
119595710
Another derivation of Weinberg's formula
To investigate how quantum effects might modify special relativity, we will study a Lorentz transformation between classical and quantum reference frames and express it in terms of the four-dimensional (4D) momentum of the quantum reference frame. The transition from the classical expression of the Lorentz transformation to a quantum-mechanical one requires us to symmetrize the expression and replace all its dynamical variables with the corresponding operators, from which we can obtain the same conclusion as that from quantum field theory (given by Weinberg's formula): owing to the Heisenberg's uncertainty relation, a particle (as a quantum reference frame) can propagate over a spacelike interval.
121280592
The exchange algebra for Liouville field on Riemann surfaces with h>1 genus
We consider the classical Liouville field theory on the Riemann surface with h>1 genus. In terms of the uniformization theorem of the Riemann surface, we show explicitly the classical exchange algebra (CEA) for the chiral components of the Liouville field. We find that this classical exchange algebra is just the same as that on a Riemann sphere with 2h punctures.
119313543
How are Feynman graphs resummed by the Loop Vertex Expansion
The purpose of this short letter is to clarify which set of pieces of Feynman graphs are resummed in a Loop Vertex Expansion, and to formulate a conjecture on the $\phi^4$ theory in non-integer dimension.
121193140
Dynamical symmetry breaking, confinement with flat-bottom potential
Abstract In this Letter, we calculate the dressed quark propagator with the flat bottom potential in the framework of the rainbow Schwinger–Dyson equation. Then based on the nonperturbative dressed quark propagator, we calculate the  π decay constant and the quark condensate. The  π decay constant is an important parameter in describing the interplay between dynamical symmetry breaking and confinement, while the quark condensate is an order parameter for dynamical chiral symmetry breaking. To implement confinement, we prove that the dressed quark propagator has no poles on the real timelike p 2 axial, the absence of Kallen–Lehmann spectral representation obviously precludes the existence of free quarks.