scholarly journals Dual subtractions

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Renato Maria Prisco ◽  
Francesco Tramontano
Keyword(s):  
Field Theory ◽  
Quantum Field ◽  
Matrix Elements ◽  
Leading Order ◽  
Initial State ◽  
Final State ◽  
Dual Representation ◽  
Subtraction Scheme ◽  
Theoretical Predictions ◽  
Perturbative Quantum

Abstract We propose a novel local subtraction scheme for the computation of Next-to-Leading Order contributions to theoretical predictions for scattering processes in perturbative Quantum Field Theory. With respect to well known schemes proposed since many years that build upon the analysis of the real radiation matrix elements, our construction starts from the loop diagrams and exploits their dual representation. Our scheme implements exact phase space factorization, handles final state as well as initial state singularities and is suitable for both massless and massive particles.

scholarly journals CHORD DIAGRAMS AND BPHZ SUBTRACTIONS

1996 ◽  
Vol 11 (13) ◽  
pp. 1095-1105 ◽  
Author(s):  
IOANNIS TSOHANTJIS ◽  
ALEX C. KALLONIATIS ◽  
PETER D. JARVIS ◽  
GEORGE THOMPSON
Keyword(s):  
Field Theory ◽  
Knot Theory ◽  
Equivalence Relations ◽  
Quantum Field ◽  
Subtraction Scheme ◽  
Chord Diagrams ◽  
Point Vertex ◽  
Fundamental Relationship ◽  
Perturbative Quantum ◽  
Ladder Graphs

The combinatorics of the BPHZ subtraction scheme for a class of ladder graphs for the three-point vertex in ɸ3 theory is transcribed into certain connectivity relations for marked chord diagrams (knots with transversal intersections). The resolution of the singular crossings using the equivalence relations in these examples provides confirmation of a proposed fundamental relationship between knot theory and renormalization in perturbative quantum field theory.

SECTOR DECOMPOSITION

2008 ◽  
Vol 23 (10) ◽  
pp. 1457-1486 ◽  
Author(s):  
GUDRUN HEINRICH
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Phase Space ◽  
General Algorithm ◽  
Constructive Method ◽  
Quantum Field ◽  
Matrix Elements ◽  
Feynman Parameter ◽  
Perturbative Quantum ◽  
Perturbative Quantum Field Theory

Sector decomposition is a constructive method to isolate divergences from parameter integrals occurring in perturbative quantum field theory. We explain the general algorithm in detail and review its application to multiloop Feynman parameter integrals as well as infrared divergent phase-space integrals over real radiation matrix elements.

scholarly journals The relation between quantum and classical field theory with a classical source

2020 ◽  
Vol 476 (2243) ◽  
pp. 20200656
Author(s):  
S. A. Fulling ◽  
A. G. S. Landulfo ◽  
G. E. A. Matsas
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Classical Field Theory ◽  
Classical Field ◽  
Quantum Field ◽  
Schwarzschild Solution ◽  
Classical Source ◽  
Time Quantum ◽  
Perturbative Quantum ◽  
Classical Picture

Classical field theory is about fields and how they behave in space–time. Quantum field theory, in practice, usually seems to be about particles and how they scatter. Nevertheless, classical fields must emerge from quantum field theory in appropriate limits, and Michael Duff showed how this happens for the Schwarzschild solution in perturbative quantum gravity. In a series of papers, we and others have shown how classical radiation from an accelerated charge emerges from quantum field theory when the Unruh thermal effect is taken into account. Here, we sharpen those conclusions by showing that, even at finite times, the quantum picture is meaningful and is in close agreement with the classical picture.

scholarly journals Azimuthal separation in nearly back-to-back jet topologies in inclusive 2- and 3-jet events in $${\text {p}} {\text {p}} $$ collisions at $$\sqrt{s}=13\,\text {Te}\text {V} $$

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
A. M. Sirunyan ◽  
◽  
A. Tumasyan ◽  
W. Adam ◽  
F. Ambrogi ◽  
...  
Keyword(s):  
Center Of Mass ◽  
Proton Collision ◽  
Leading Order ◽  
Proton Proton ◽  
Perturbative Quantum Chromodynamics ◽  
Center Of Mass Energy ◽  
Theoretical Predictions ◽  
Proton Proton Collision ◽  
Perturbative Quantum ◽  
Two Jets

Abstract A measurement for inclusive 2- and 3-jet events of the azimuthal correlation between the two jets with the largest transverse momenta, $$\varDelta \phi _{12}$$Δϕ12, is presented. The measurement considers events where the two leading jets are nearly collinear (“back-to-back”) in the transverse plane and is performed for several ranges of the leading jet transverse momentum. Proton-proton collision data collected with the CMS experiment at a center-of-mass energy of $$13\,\text {Te}\text {V} $$13Te and corresponding to an integrated luminosity of $$35.9{\,\text {fb}^{-1}} $$35.9fb-1 are used. Predictions based on calculations using matrix elements at leading-order and next-to-leading-order accuracy in perturbative quantum chromodynamics supplemented with leading-log parton showers and hadronization are generally in agreement with the measurements. Discrepancies between the measurement and theoretical predictions are as large as 15%, mainly in the region $$177^\circ< \varDelta \phi _{12} < 180^\circ $$177∘<Δϕ12<180∘. The 2- and 3-jet measurements are not simultaneously described by any of models.

Renormalization of quantum field theory on Riemannian manifolds

2019 ◽  
Vol 31 (06) ◽  
pp. 1950017
Author(s):  
Nguyen Viet Dang ◽  
Estanislao Herscovich
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Riemannian Manifolds ◽  
Quantum Field ◽  
Local Method ◽  
Open Set ◽  
Perturbative Quantum ◽  
Perturbative Quantum Field Theory

In this paper, we provide a simple pedagogical proof of the existence of covariant renormalizations in Euclidean perturbative quantum field theory on closed Riemannian manifolds, following the Epstein–Glaser philosophy. We rely on a local method that allows us to extend a distribution defined on an open set [Formula: see text] to the whole manifold [Formula: see text].

Sign in / Sign up

Export Citation Format

Share Document