scholarly journals On local quantum field theory without ultra-violet divergences. Third order

1964 ◽  
Vol 32 (4) ◽  
pp. 1046-1058 ◽  
Author(s):  
G. V. Efimov
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Ultra Violet ◽  
Quantum Field ◽  
Third Order ◽  
Local Quantum

Manifestly Lorentz-covariant local quantum field theory of dyons via dual matter fields

1991 ◽  
Vol 66 (24) ◽  
pp. 3097-3100 ◽  
Author(s):  
Manu Mathur ◽  
H. S. Sharatchandra
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Local Quantum ◽  
Matter Fields

scholarly journals ON BORWEIN’S CONJECTURES FOR PLANAR UNIFORM RANDOM WALKS

2019 ◽  
Vol 107 (3) ◽  
pp. 392-411 ◽  
Author(s):  
YAJUN ZHOU
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Random Walks ◽  
Euclidean Plane ◽  
Feynman Diagrams ◽  
Quantum Field ◽  
Two Dimensional ◽  
Third Order ◽  
The Third ◽  
Uniformly Convergent

Let $p_{n}(x)=\int _{0}^{\infty }J_{0}(xt)[J_{0}(t)]^{n}xt\,dt$ be Kluyver’s probability density for $n$-step uniform random walks in the Euclidean plane. Through connection to a similar problem in two-dimensional quantum field theory, we evaluate the third-order derivative $p_{5}^{\prime \prime \prime }(0^{+})$ in closed form, thereby giving a new proof for a conjecture of J. M. Borwein. By further analogies to Feynman diagrams in quantum field theory, we demonstrate that $p_{n}(x),0\leq x\leq 1$ admits a uniformly convergent Maclaurin expansion for all odd integers $n\geq 5$, thus settling another conjecture of Borwein.

Local Quantum Field Theory of Possible Violation of the Pauli Principle

1988 ◽  
Vol 61 (12) ◽  
pp. 1432-1432 ◽  
Author(s):  
O. W. Greenberg ◽  
R. N. Mohapatra
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Pauli Principle ◽  
Quantum Field ◽  
Local Quantum

scholarly journals Causality in local quantum field theory

1995 ◽  
Vol 356 (2-3) ◽  
pp. 319-323 ◽  
Author(s):  
Luciano Maiani ◽  
Massimo Testa
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Local Quantum

scholarly journals Perturbative QCD in acceptable schemes with holomorphic coupling

2015 ◽  
Vol 30 (15) ◽  
pp. 1550082 ◽  
Author(s):  
Carlos Contreras ◽  
Gorazd Cvetič ◽  
Reinhart Kögerler ◽  
Pawel Kröger ◽  
Oscar Orellana
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Perturbative Qcd ◽  
Perturbation Series ◽  
Quantum Field ◽  
Sum Rule ◽  
Running Coupling ◽  
Local Quantum ◽  
Rule Analysis ◽  
Physical Quantities

Perturbative QCD in mass independent schemes leads in general to running coupling a(Q2) which is nonanalytic (nonholomorphic) in the regime of low spacelike momenta |Q2|≲1 GeV 2. Such (Landau) singularities are inconvenient in the following sense: evaluations of spacelike physical quantities 𝒟(Q2) with such a running coupling a(κQ2)(κ~1) give us expressions with the same kind of singularities, while the general principles of local quantum field theory require that the mentioned physical quantities have no such singularities. In a previous work, certain classes of perturbative mass independent beta functions were found such that the resulting coupling was holomorphic. However, the resulting perturbation series showed explosive increase of coefficients already at N 4 LO order, as a consequence of the requirement that the theory reproduce the correct value of the τ lepton semihadronic strangeless decay ratio rτ. In this paper, we successfully extend the construction to specific classes of perturbative beta functions such that the perturbation series do not show explosive increase of coefficients, the perturbative coupling is holomorphic, and the correct value of rτ is reproduced. In addition, we extract, with Borel sum rule analysis of the V+A channel of the semihadronic strangeless decays of τ lepton, reasonable values of the corresponding D = 4 and D = 6 condensates.

Sign in / Sign up

Export Citation Format

Share Document