121984241
Representation of the propagator and Schwinger functions of Dirac fields in terms of Brownian motions
A mathematical path integral representation of the propagator and Schwinger functions of the Dirac fields on R4 interacting with a smooth non‐Abelian gauge field is presented. The representation is essentially in terms of expectations with respect to the Brownian motion on R4.
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.
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.
118685095
Analysis of the ${3\over 2}^{+}$ heavy and doubly heavy baryon states with QCD sum rules
In this article, we study the ${3\over 2}^{+}$ heavy and doubly heavy baryon states $\varXi^{*}_{cc}$, $\varOmega^{*}_{cc}$, $\varXi^{*}_{bb}$, $\varOmega^{*}_{bb}$, $\varSigma_{c}^{*}$, $\varXi_{c}^{*}$, $\varOmega_{c}^{*}$, $\varSigma_{b}^{*}$, $\varXi_{b}^{*}$ and $\varOmega_{b}^{*}$ by subtracting the contributions from the corresponding ${3\over 2}^{-}$ heavy and doubly heavy baryon states with the QCD sum rules, and we make reasonable predictions for their masses.
119627570
How to Resum Feynman Graphs
In this paper, we reformulate the combinatorial core of constructive quantum field theory. We define universal rational combinatorial weights for pairs made of a graph and any of its spanning trees. These weights are simply the percentage of Hepp’s sectors of the graph in which the tree is leading, in the sense of Kruskal’s greedy algorithm. Our main new mathematical result is an integral representation of these weights in terms of the positive matrix appearing in the symmetric “BKAR” Taylor forest formula. Then, we explain how the new constructive technique called Loop Vertex Expansion reshuffles according to these weights the divergent series of the intermediate field representation into a convergent series which is the Borel sum of the ordinary perturbative Feynman’s series.
8140539
Calculation of Planetary Precession with Quantum-corrected Newton ’ s Gravitation ∗
With consideration of quantization of space, we relate the Newton’s gravitation with the Second Law of thermodynamics. This leads to a correction to its original form, which takes into consideration of the role of classical measurement. Our calculation shows this corrected form of gravitation can give explanation for planetary precession. The most distinctive feature of quantum mechanics is the concept of measurement. It is more reasonable and closer to reality compared with that in classical physics. Therefore the first step that leads to a successful combination of quantum mechanics and general relativity should be the introduction of the role of measurement into classical physics. Such attempt has been scarcely seen because most physicists will not give up the concept of independent objectiveness of reality in classical physics. But as a matter of fact we can only talk about the part of the reality we are able to measure, which is certainly under the influence of our measurement. It is the purpose of this paper to show with an example that this philosophy of quantum physics may also work in classical physics. We know in both classical and quantum physics, in reality and in philosophy, nothing can be made up of zeros, otherwise many paradoxes like Zeno paradox [1] would arise. Therefore it is natural and reasonable to assume that there must be a basic measuring unit in every single measurement, which can not be measured itself. It is the basic brick that constructs the result of our measurement. I would like to call it uncertainty quantum, since we are uncertain about its nature in principle. For example, in order for the concept of length to make sense, there must be a length quantum. And time would have no meaning if there were not a time quantum. Evidently this quantum is characteristical of an observer. In this way, we have introduced a subjective feature into classical physics. We The author would like to thank Prof. Guoying Chee for beneficial discussion
31299789
Electron cooling of high-energy protons in a multiring trap with a tank circuit monitoring the electron-plasma oscillations.
Electron cooling of energetic protons in a multiring trap was investigated experimentally with a tank circuit monitoring electron-plasma oscillations in the trap. The energy of protons was determined by time-of-flight measurements. It is found that a simple model can explain the qualitative behavior of both electron and proton energy when the initial energy of protons is less than 2 keV. Monitoring the electron-plasma temperature with a tank circuit can be an effective tool when energetic particles are electron cooled in a multiring trap.
119270278
Strongly correlated topological superconductors and topological phase transitions via Green's function
We propose several topological order parameters expressed in terms of Green's function at zero frequency for topological superconductors, which generalizes the previous work for interacting insulators. The coefficient in topological field theory is expressed in terms of zero frequency Green's function. We also study topological phase transition beyond noninteracting limit in this zero frequency Green's function approach.