Path-integral derivation of gauge and gravitational chiral anomalies in theories with vector and axial-vector couplings in arbitrary even dimensions

1986 ◽  
Vol 33 (4) ◽  
pp. 1061-1078 ◽  
Author(s):  
John M. Gipson
Keyword(s):  
Path Integral ◽  
Axial Vector

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].

EFFECTIVE CHIRAL LAGRANGIANS FOR STRONG, WEAK AND ELECTROMAGNETIC-WEAK INTERACTIONS OF MESONS FROM QUARK FLAVOR DYNAMICS

1993 ◽  
Vol 08 (07) ◽  
pp. 1313-1344 ◽  
Author(s):  
D. EBERT ◽  
A.A. BEL’KOV ◽  
A.V. LANYOV ◽  
A. SCHAALE
Keyword(s):  
Path Integral ◽  
Fourth Order ◽  
Chiral Lagrangians ◽  
Weak Interactions ◽  
Axial Vector ◽  
Chiral Expansion ◽  
Strong Interactions ◽  
Vector Mesons ◽  
Quark Flavor

Effective chiral Lagrangians for strong, weak and electromagnetic-weak interactions of composite pseudoscalar, vector and axial-vector mesons are derived up to the fourth order in the chiral expansion from quark flavor dynamics based on the Nambu-Jona-Lasinio model. This approach completes earlier work on strong interactions and applies the path-integral bosonization method to the nonleptonic weak quark Lagrangian including the emission of structural photons. As illustrations, the bosonized weak and electromagnetic-weak Lagrangians are applied to the description of K→π(η) and K→π(η)γ* transitions.

Vapour Pressure Isotope Effect on Evaporation from Pure Organic Phases - a PIMD Approach

2020 ◽  
Author(s):  
Luis Vasquez ◽  
Agnieszka Dybala-Defratyka
Keyword(s):  
Path Integral ◽  
Vapour Pressure ◽  
Density Functional ◽  
Isotope Effects ◽  
Tight Binding ◽  
Decomposition Analysis ◽  
Energy Decomposition Analysis ◽  
Special Importance ◽  
Non Covalent Interactions ◽  
Covalent Interactions

<p></p><p>Very often in order to understand physical and chemical processes taking place among several phases fractionation of naturally abundant isotopes is monitored. Its measurement can be accompanied by theoretical determination to provide a more insightful interpretation of observed phenomena. Predictions are challenging due to the complexity of the effects involved in fractionation such as solvent effects and non-covalent interactions governing the behavior of the system which results in the necessity of using large models of those systems. This is sometimes a bottleneck and limits the theoretical description to only a few methods.<br> In this work vapour pressure isotope effects on evaporation from various organic solvents (ethanol, bromobenzene, dibromomethane, and trichloromethane) in the pure phase are estimated by combining force field or self-consistent charge density-functional tight-binding (SCC-DFTB) atomistic simulations with path integral principle. Furthermore, the recently developed Suzuki-Chin path integral is tested. In general, isotope effects are predicted qualitatively for most of the cases, however, the distinction between position-specific isotope effects observed for ethanol was only reproduced by SCC-DFTB, which indicates the importance of using non-harmonic bond approximations.<br> Energy decomposition analysis performed using the symmetry-adapted perturbation theory (SAPT) revealed sometimes quite substantial differences in interaction energy depending on whether the studied system was treated classically or quantum mechanically. Those observed differences might be the source of different magnitudes of isotope effects predicted using these two different levels of theory which is of special importance for the systems governed by non-covalent interactions.</p><br><p></p>

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