scholarly journals Perturbative computation of the gluonic effective action via Polyakov’s world-line path integral

2002 ◽  
Vol 66 (4) ◽  
Author(s):  
S. D. Avramis ◽  
A. I. Karanikas ◽  
C. N. Ktorides
Keyword(s):  
Path Integral ◽  
Effective Action ◽  
World Line ◽  
Line Path

scholarly journals The fermionic universal one-loop effective action

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Sebastian A. R. Ellis ◽  
Jérémie Quevillon ◽  
Pham Ngoc Hoa Vuong ◽  
Tevong You ◽  
Zhengkang Zhang
Keyword(s):  
Path Integral ◽  
Effective Action ◽  
Covariant Derivative ◽  
Heavy Fermion ◽  
Axial Vector ◽  
Derivative Expansion ◽  
Universal Structure ◽  
Pseudo Scalar ◽  
Matching Techniques ◽  
Analytical Expressions

Abstract Recent development of path integral matching techniques based on the covariant derivative expansion has made manifest a universal structure of one-loop effective Lagrangians. The universal terms can be computed once and for all to serve as a reference for one-loop matching calculations and to ease their automation. Here we present the fermionic universal one-loop effective action (UOLEA), resulting from integrating out heavy fermions (Dirac or Majorana) with scalar, pseudo-scalar, vector and axial-vector couplings. We also clarify the relation of the new terms computed here to terms previously computed in the literature and those that remain to complete the UOLEA. Our results can be readily used to efficiently obtain analytical expressions for effective operators arising from heavy fermion loops [13].

scholarly journals VACUUM POLARIZATION IN QED WITH WORLD-LINE METHODS

2002 ◽  
Vol 17 (06n07) ◽  
pp. 960-965
Author(s):  
R. SHAISULTANOV
Keyword(s):  
Electromagnetic Field ◽  
Effective Action ◽  
Arbitrary Constant ◽  
Vacuum Polarization ◽  
World Line ◽  
Field Configuration ◽  
Constant Electromagnetic Field

The application of world-line techniques to calculation of the vacuum polarization and effective action in scalar and spinor QED with external arbitrary constant electromagnetic field configuration is presented.

scholarly journals REAL OR IMAGINARY? ON PAIR CREATION IN DE SITTER SPACE

2010 ◽  
Vol 25 (33) ◽  
pp. 2815-2823 ◽  
Author(s):  
EMIL T. AKHMEDOV
Keyword(s):  
Scalar Field ◽  
Path Integral ◽  
Effective Action ◽  
Particle Production ◽  
De Sitter Space ◽  
Pair Creation ◽  
De Sitter ◽  
Feynman Propagator

Using properly defined Feynman propagator we obtain nonzero imaginary contribution to the scalar field effective action in even-dimensional de Sitter space. Such a propagator follows from the path integral in de Sitter space and obeys composition principle proposed in arXiv:0709.2899. The obtained expression for the effective action shows particle production with the Gibbons–Hawking rate.

scholarly journals Background independent exact renormalisation

2021 ◽  
Vol 81 (2) ◽  
Author(s):  
Kevin Falls
Keyword(s):  
Path Integral ◽  
Effective Action ◽  
Beta Function ◽  
Background Field ◽  
Flow Equation ◽  
Renormalisation Group ◽  
Gauge Invariant ◽  
Yang Mills ◽  
The One ◽  
Group Flow

AbstractA geometric formulation of Wilson’s exact renormalisation group is presented based on a gauge invariant ultraviolet regularisation scheme without the introduction of a background field. This allows for a manifestly background independent approach to quantum gravity and gauge theories in the continuum. The regularisation is a geometric variant of Slavnov’s scheme consisting of a modified action, which suppresses high momentum modes, supplemented by Pauli–Villars determinants in the path integral measure. An exact renormalisation group flow equation for the Wilsonian effective action is derived by requiring that the path integral is invariant under a change in the cutoff scale while preserving quasi-locality. The renormalisation group flow is defined directly on the space of gauge invariant actions without the need to fix the gauge. We show that the one-loop beta function in Yang–Mills and the one-loop divergencies of General Relativity can be calculated without fixing the gauge. As a first non-perturbative application we find the form of the Yang–Mills beta function within a simple truncation of the Wilsonian effective action.

scholarly journals Prediction of Unified New Physics beyond Quantum Mechanics from the Feynman Path Integral: Elementary Cycles String Theory

2021 ◽  
Author(s):  
Donatello Dolce
Keyword(s):  
Path Integral ◽  
World Line ◽  
Internal Clock ◽  
New Physics ◽  
Theoretical Physics ◽  
Feynman Path Integral ◽  
Feynman Path ◽  
Quantum Phenomena ◽  
Time Accuracy

Abstract We prove that the Feynman Path Integral is equivalent to a novel stringy description of elementary particles characterized by a single compact (cyclic) world-line parameter playing the role of the particle internal clock. This clearly reveals an exact unified formulation of quantum and relativistic physics, potentially deterministic, fully falsifiable having no fine-tunable parameters, also proven in previous pap,rs to be completely consistent with all known physics, from theoretical physics to condensed matter. New physics will be discovered by observing quantum phenomena with experimental time accuracy of the order of 10-2 sec.

THE GENERALIZED ANOMALY AND EFFECTIVE ACTION IN THE CHIRAL SCHWINGER MODEL

1987 ◽  
Vol 02 (08) ◽  
pp. 579-584 ◽  
Author(s):  
S. H. YI ◽  
D. K. PARK ◽  
B. H. CHO
Keyword(s):  
Path Integral ◽  
Effective Action ◽  
Integral Method ◽  
Parameter Family ◽  
Schwinger Model ◽  
Regularization Operator ◽  
Path Integral Method ◽  
The One

The one-parameter class of the non-minimal anomaly and effective action are derived by the path integral method using the one-parameter family of the Euclidean regularization operator in the Chiral Schwinger model. We show that the regularization dependence is related to the choice of the chiral operator in the calculation of the non-vanishing Jacobian.

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