Non-local form factors in flat and curved spacetime

2021 ◽  
pp. 397-413
Author(s):  
Iosif L. Buchbinder ◽  
Ilya L. Shapiro
Keyword(s):  
Form Factors ◽  
Local Form ◽  
Quantum Field ◽  
Direct Relation ◽  
Curved Space ◽  
Flat Spacetime ◽  
Infrared Limit ◽  
Non Local ◽  
Generally Covariant ◽  
The Relationship

This chapter is devoted to the direct explicit calculations of non-local form factors in two-point functions in real scalar field theory. Two simple examples in flat spacetime demonstrate the relationship between logarithmic ultraviolet (UV) divergences in the cut-off and dimensional regularizations, which is used for deriving the form factors. The chapter then shows how one can establish the direct relation between logarithmic UV divergences and the logarithmic behavior of the momentum-dependent non-local form factors in the UV. In the low-energy (infrared) limit, it is possible to observe quadratic decoupling with respect to the mass of the quantum field. In curved space, analogous results are reproduced using the generally covariant heat-kernel solution. Calculations are given in full details.

scholarly journals Vacuum Effective Actions and Mass-Dependent Renormalization in Curved Space

2019 ◽  
Author(s):  
Omar Zanusso ◽  
Sebastián A. Franchino-Viñas ◽  
Tibério de Paula Netto
Keyword(s):  
Heat Kernel ◽  
Effective Action ◽  
Form Factors ◽  
The Other ◽  
Local Form ◽  
Curved Space ◽  
Four Dimensions ◽  
Semiclassical Gravity ◽  
Non Local ◽  
Mass Dependent

We review past and present results on the non-local form-factors of the effective action of semiclassical gravity in two and four dimensions computed by means of a covariant expansion of the heat kernel up to the second order in the curvatures. We discuss the importance of these form-factors in the construction of mass-dependent beta functions for the Newton's constant and the other gravitational couplings.

scholarly journals Vacuum Effective Actions and Mass-Dependent Renormalization in Curved Space

Universe ◽  
2019 ◽  
Vol 5 (3) ◽  
pp. 67 ◽  
Author(s):  
Sebastián Franchino-Viñas ◽  
Tibério de Paula Netto ◽  
Omar Zanusso
Keyword(s):  
Heat Kernel ◽  
Effective Action ◽  
Form Factors ◽  
The Other ◽  
Local Form ◽  
Curved Space ◽  
Four Dimensions ◽  
Semiclassical Gravity ◽  
Non Local ◽  
Mass Dependent

We review past and present results on the non-local form-factors of the effective action of semiclassical gravity in two and four dimensions computed by means of a covariant expansion of the heat kernel up to the second order in the curvatures. We discuss the importance of these form-factors in the construction of mass-dependent beta functions for the Newton’s constant and the other gravitational couplings.

On non-local form factors

1955 ◽  
Vol 1 (6) ◽  
pp. 1113-1119 ◽  
Author(s):  
R. J. Finkelstein
Keyword(s):  
Form Factors ◽  
Local Form ◽  
Non Local

The conformal anomaly and anomaly-induced action

2021 ◽  
pp. 414-424
Author(s):  
Iosif L. Buchbinder ◽  
Ilya L. Shapiro
Keyword(s):  
Effective Action ◽  
Black Hole Physics ◽  
Dimensional Regularization ◽  
Form Factors ◽  
Simple Calculation ◽  
Conformal Anomaly ◽  
Local Form ◽  
Conformal Transformations ◽  
Transformation Rules ◽  
Non Local

This chapter describes in detail basic results concerning the conformal (trace) anomaly and anomaly-induced action in four spacetime dimensions. It is shown how the anomaly appears from the non-local form factors discussed in chapter 16. Starting from the conformal transformations, the necessary invariants and transformation rules are obtained. The simplest derivation of the anomaly in dimensional regularization is explained, followed by the equally simple calculation of the anomaly-induced effective action of gravity. The chapter also briefly discusses applications of the induced effective action in cosmology and black hole physics.

Psychological Empowerment and Job Satisfaction: A Meta-analytic Review

2021 ◽  
pp. 097226292199435
Author(s):  
Jain Mathew ◽  
Sridevi Nair
Keyword(s):  
Systematic Review ◽  
Job Satisfaction ◽  
Psychological Empowerment ◽  
Meta Analysis ◽  
Direct Relation ◽  
Review Of Literature ◽  
Organizational Settings ◽  
Analytic Review ◽  
The Relationship ◽  
Intervening Variables

Studies in the area of psychological empowerment have been on the rise since early 1990s. Given the large amount of information available, the researchers aim to consolidate findings, in order to arrive at a deeper understanding of the concept and its relation to job satisfaction of employees in organizations. The researchers have identified 50 studies, set in varied cultural and organizational settings. The data from these studies form the basis of the analysis in this paper. A meta-analysis of the findings of the chosen studies was conducted. This is followed by a systematic review of literature, to identify a few probable intervening variables that modify the relationship. The findings of the analysis suggest that the direct relation between psychological empowerment and job satisfaction is positive, strong and statistically significant. The study supports the validity of one of the earliest models explaining the relation. The paper establishes that the direct relation between psychological empowerment and job satisfaction is strong, positive and significant. The variations in the strength of the relationship is due to the presence of certain intervening variables like culture, age, educational qualification and experience.

scholarly journals Area Entropy and Quantized Mass of Black Holes from Information Theory

Entropy ◽  
2021 ◽  
Vol 23 (7) ◽  
pp. 858
Author(s):  
Dongshan He ◽  
Qingyu Cai
Keyword(s):  
Information Theory ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Compton Wavelength ◽  
Information Theoretic ◽  
Curved Space ◽  
Thermodynamic Entropy ◽  
Hole Area ◽  
The Relationship

In this paper, we present a derivation of the black hole area entropy with the relationship between entropy and information. The curved space of a black hole allows objects to be imaged in the same way as camera lenses. The maximal information that a black hole can gain is limited by both the Compton wavelength of the object and the diameter of the black hole. When an object falls into a black hole, its information disappears due to the no-hair theorem, and the entropy of the black hole increases correspondingly. The area entropy of a black hole can thus be obtained, which indicates that the Bekenstein–Hawking entropy is information entropy rather than thermodynamic entropy. The quantum corrections of black hole entropy are also obtained according to the limit of Compton wavelength of the captured particles, which makes the mass of a black hole naturally quantized. Our work provides an information-theoretic perspective for understanding the nature of black hole entropy.

scholarly journals ε-EXPANSION IN QUANTUM FIELD THEORY IN CURVED SPACE–TIME

1998 ◽  
Vol 13 (16) ◽  
pp. 2857-2874
Author(s):  
IVER H. BREVIK ◽  
HERNÁN OCAMPO ◽  
SERGEI ODINTSOV
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Space Time ◽  
Quantum Field ◽  
Curved Space ◽  
Njl Model ◽  
Effective Lagrangian ◽  
Special Solutions ◽  
Curvature Approximation ◽  
Symmetric Phase

We discuss ε-expansion in curved space–time for asymptotically free and asymptotically nonfree theories. The existence of stable and unstable fixed points is investigated for fϕ4 theory and SU(2) gauge theory. It is shown that ε-expansion maybe compatible with aysmptotic freedom on special solutions of the RG equations in a special ase (supersymmetric theory). Using ε-expansion RG technique, the effective Lagrangian for covariantly constant gauge SU(2) field and effective potential for gauged NJL model are found in (4-ε)-dimensional curved space (in linear curvature approximation). The curvature-induced phase transitions from symmetric phase to asymmetric phase (chromomagnetic vacuum and chiral symmetry broken phase, respectively) are discussed for the above two models.

Geography and Local (Dis)advantage: Evidence from Muni Bond Funds

2016 ◽  
Vol 06 (03) ◽  
pp. 1650008 ◽  
Author(s):  
Saiying Deng ◽  
David Rakowski
Keyword(s):  
Mutual Fund ◽  
Knowledge Spillovers ◽  
Geographic Location ◽  
Municipal Bond ◽  
Fund Managers ◽  
Non Local ◽  
Bond Fund ◽  
Business Connections ◽  
Bond Mutual Funds ◽  
The Relationship

We examine the relationship between the geographic location of mutual fund managers and fund performance using the unique setting of single-state municipal-bond mutual funds. We find that local managers underperform non-local muni-bond fund managers. Furthermore, we document that local muni-bond fund managers perform relatively better in states with more local funds, consistent with knowledge spillovers, business connections and networking effects associated with those areas. Locals also perform relatively better in states with higher levels of political integrity, consistent with less political pressure on local fund managers in these locations. Our results are robust to several sensitivity checks.

Sign in / Sign up

Export Citation Format

Share Document