Path-integral formulation of high-energy scattering in quantum field theories

1983 ◽  
Vol 27 (6) ◽  
pp. 1331-1339 ◽  
Author(s):  
Hung Cheng ◽  
Xiquan Zhu
Keyword(s):  
Path Integral ◽  
High Energy ◽  
Integral Formulation ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Path Integral Formulation ◽  
Energy Scattering ◽  
High Energy Scattering

scholarly journals Aspects of high energy scattering

2020 ◽  
Author(s):  
Chris White
Keyword(s):  
Graduate Students ◽  
High Energy ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Energy Limit ◽  
High Energy Limit ◽  
High Energy Scattering ◽  
Widespread Interest ◽  
Generic Behaviour

Scattering amplitudes in quantum field theories are of widespread interest, due to a large number of theoretical and phenomenological applications. Much is known about the possible behaviour of amplitudes, that is independent of the details of the underlying theory. This knowledge is often neglected in modern QFT courses, and the aim of these notes - aimed at graduate students - is to redress this. We review the possible singularities that amplitudes can have, before examining the generic behaviour that can arise in the high-energy limit. Finally, we illustrate the results using examples from QCD and gravity.

scholarly journals Formfactors of Relativistic Composite Particle Interactions in Unified Nonlinear Spinorfield Models

1985 ◽  
Vol 40 (7) ◽  
pp. 752-773
Author(s):  
H. Stumpf
Keyword(s):  
Composite Particle ◽  
Particle Interaction ◽  
High Energy ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Statistical Interpretation ◽  
Quantum Field ◽  
Mapping Procedure ◽  
Effective Dynamics ◽  
Rough Approximation

Unified nonlinear spinorfield models are self-regularizing quantum field theories in which all observable (elementary and non-elementary) particles are assumed to be bound states of fermionic preon fields. Due to their large masses the preons themselves are confined and below the threshold of preon production the effective dynamics of the model is only concerned with bound state reactions. In preceding papers a functional energy representation, the statistical interpretation and the dynamical equations were derived and the effective dynamics for preon-antipreon boson states and three preon-fermion states (with corresponding anti-fermions) was studied in the low energy limit. The transformation of the functional energy representation of the spinorfield into composite particle functional operators produced a hierarchy of effective interactions at the composite particle level, the leading terms of which are identical with the functional energy representation of a phenomenological boson-fermion coupling theory. In this paper these calculations are extended into the high energy range. This leads to formfactors for the composite particle interaction terms which are calculated in a rough approximation and which in principle are observable. In addition, the mathematical and physical interpretation of nonlocal quantum field theories and the meaning of the mapping procedure, its relativistic invariance etc. are discussed.

scholarly journals May the four be with you: novel IR-subtraction methods to tackle NNLO calculations

2021 ◽  
Vol 81 (3) ◽  
Author(s):  
W. J. Torres Bobadilla ◽  
G. F. R. Sborlini ◽  
P. Banerjee ◽  
S. Catani ◽  
A. L. Cherchiglia ◽  
...  
Keyword(s):  
High Energy Physics ◽  
High Energy ◽  
Higher Order ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Link Type ◽  
Mathematical Properties ◽  
Energy Physics ◽  
The Way

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.

scholarly journals CHILD UNIVERSE UV REGULARIZATION?

2008 ◽  
Vol 17 (03n04) ◽  
pp. 551-555 ◽  
Author(s):  
E. I. GUENDELMAN
Keyword(s):  
Black Hole ◽  
Energy Density ◽  
High Energy ◽  
High Energy Density ◽  
Field Theories ◽  
Minimum Length ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Gravitational Effects ◽  
Black Hole Evaporation

It is argued that high energy density excitations, responsible for UV divergences in quantum field theories, including quantum gravity, are likely to be the source of child universes which carry them out of the original space–time. This decoupling prevents the high UV excitations from having any influence on physical amplitudes. Child universe production could therefore be responsible for UV regularization in quantum field theories which take into account gravitational effects. Finally, we discuss child universe production in the last stages of black hole evaporation, the prediction of the absence of trans-Planckian primordial perturbations, the connection with the minimum length hypothesis, and in particular the connection with the maximal curvature hypothesis.

scholarly journals CURRENT ALGEBRA IN THE PATH INTEGRAL FRAMEWORK

1998 ◽  
Vol 13 (27) ◽  
pp. 2193-2198
Author(s):  
V. CÁRDENAS ◽  
S. LEPE ◽  
J. SAAVEDRA
Keyword(s):  
Path Integral ◽  
Current Algebra ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Current Algebras

In this letter we describe an approach to the current algebra based on the path integral formalism. We use this method for Abelian and non-Abelian quantum field theories in (1+1) and (2+1) dimensions and the correct expressions are obtained. Our results show the independence of the regularization of the current algebras.

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