scholarly journals Task A, High Energy Physics Program experiment and theory: Task B, High Energy Physics Program numerical simulation of quantum field theories. Progress report, July 1, 1991--June 30, 1992

1992 ◽  
Author(s):  

Author(s):  
W. J. Torres Bobadilla ◽  
G. F. R. Sborlini ◽  
P. Banerjee ◽  
S. Catani ◽  
A. L. Cherchiglia ◽  
...  

AbstractIn this manuscript, we report the outcome of the topical workshop: paving the way to alternative NNLO strategies (https://indico.ific.uv.es/e/WorkStop-ThinkStart_3.0), by presenting a discussion about different frameworks to perform precise higher-order computations for high-energy physics. These approaches implement novel strategies to deal with infrared and ultraviolet singularities in quantum field theories. A special emphasis is devoted to the local cancellation of these singularities, which can enhance the efficiency of computations and lead to discover novel mathematical properties in quantum field theories.





1992 ◽  
Author(s):  
J.A. Gaidos ◽  
F.J. Loeffler ◽  
R.L. McIlwain ◽  
D.H. Miller ◽  
T.R. Palfrey ◽  
...  


2008 ◽  
Vol 05 (06) ◽  
pp. 863-892 ◽  
Author(s):  
RAMI AHMAD EL-NABULSI

Fractional calculus has recently attracted considerable attention. In particular, various fractional differential equations are used to model nonlinear wave theory that arises in many different areas of physics such as Josephson junction theory, field theory, theory of lattices, etc. Thus one may expect fractional calculus, in particular fractional differential equations, plays an important role in quantum field theories which are expected to satisfy fractional generalization of Klein–Gordon and Dirac equations. Until now, in high-energy physics and quantum field theories the derivative operator has only been used in integer steps. In this paper, we want to extend the idea of differentiation to arbitrary non-integers steps. We will address multi-dimensional fractional action-like problems of the calculus of variations where fractional field theories and fractional differential Dirac operators are constructed.



1989 ◽  
Author(s):  
J. Gaidos ◽  
F. Loeffler ◽  
R. McIlwain ◽  
D. Miller ◽  
T. Palfrey ◽  
...  




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