On the role of field theories in our physical conception of geometry

1978 ◽  
pp. 1-80 ◽  
Author(s):  
Shlomo Sternberg
Keyword(s):  
Field Theories

scholarly journals Emergent fields from hidden sectors

2021 ◽  
Vol 2105 (1) ◽  
pp. 012002
Author(s):  
Pascal Anastasopoulos
Keyword(s):  
String Theory ◽  
Particle Physics ◽  
Field Theories ◽  
Gauge Fields ◽  
Quantum Field Theories ◽  
Quantum Field

Abstract The present research proceeding aims at investigating/exploring/sharpening the phenomenological consequences of string theory and holography in particle physics and cosmology. We rely on and elaborate on the recently proposed framework whereby four-dimensional quantum field theories describe all interactions in Nature, and gravity is an emergent and not a fundamental force. New gauge fields, axions, and fermions, which can play the role of right-handed neutrinos, can also emerge in this framework. Preprint: UWThPh 2021-8

Empirical σ Molecular Orbital Parameters and their Correlation with Rates of Substitution Reactions in Quadrate Cr(III) and Co(III) Complexes

1971 ◽  
Vol 49 (9) ◽  
pp. 1497-1501 ◽  
Author(s):  
C. H. Langford
Keyword(s):  
Field Theories ◽  
Complete Analysis ◽  
Substitution Reactions ◽  
Spectral Parameters ◽  
Empirical Measures ◽  
Orbital Parameters ◽  
Spectral Bands ◽  
Leaving Group ◽  
The Relationship

Empirical measures of σ bonding involving metal 3d orbitals are derived from Perumareddi's (4) complete analysis of the quartet spectral bands of quadrate complexes in the families Cr(NH3)5Xn+ and Cr(OH2)5Xn+. These are shown to correlate with lability of X in the Cr(III) complexes and in Co(NH3)5Xn+ complexes in a sense indicating that relative reactivity is controlled by variation of ligand metal 3d σ interaction. The relationship between the two Cr(III) series implies that the non-labile ligands can labilize the leaving group in proportion to their σ donor capacities. This observation bears on some well-known difficulties in crystal field theories of reactivity. In evaluating the correlation of spectral parameters with reactivity, the role of solvation in reactivity of Cr(III) and Co(III) complexes is discussed with emphasis on the surprisingly small solvent effects that have been observed.

scholarly journals How important is iϵ in QFT?

2015 ◽  
Vol 30 (14) ◽  
pp. 1550071
Author(s):  
Amir H. Fariborz ◽  
Renata Jora ◽  
Joseph Schechter
Keyword(s):  
Regularization Parameter ◽  
Dimensional Regularization ◽  
Present Knowledge ◽  
Field Theories ◽  
Optical Theorem ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Infrared Divergences

We discuss the role of iϵ in quantum field theories and suggest that it can be identified with the dimensional regularization parameter iϵ = 4-d thus clarifying and simplifying issues related to the infrared divergences without altering any of the present knowledge in QFT. We further present the relevance of this assumption for the optical theorem.

scholarly journals A GENERAL SOLUTION OF THE BV-MASTER EQUATION AND BRST FIELD THEORIES

1993 ◽  
Vol 08 (22) ◽  
pp. 2087-2097 ◽  
Author(s):  
ÖMER F. DAYI
Keyword(s):  
Master Equation ◽  
General Procedure ◽  
Field Theories ◽  
Simons Theory ◽  
Proper Solution ◽  
First Order ◽  
Brst Charge ◽  
Chern Simons ◽  
Chern Simons Theory

For a class of first order gauge theories it was shown that the proper solution of the BV-master equation can be obtained straightforwardly. Here we present the general condition which the gauge generators should satisfy to conclude that this construction is relevant. The general procedure is illustrated by its application to the Chern-Simons theory in any odd dimension. Moreover, it is shown that this formalism is also applicable to BRST field theories when one replaces the role of the exterior derivative with the BRST charge of first quantization.

scholarly journals Why boundary conditions do not generally determine the universality class for boundary critical behavior

2020 ◽  
Vol 93 (10) ◽  
Author(s):  
Hans Werner Diehl
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Neumann Boundary ◽  
Universality Class ◽  
Field Theories ◽  
Boundary Field ◽  
Universality Classes ◽  
The Continuum

Abstract Interacting field theories for systems with a free surface frequently exhibit distinct universality classes of boundary critical behaviors depending on gross surface properties. The boundary condition satisfied by the continuum field theory on some scale may or may not be decisive for the universality class that applies. In many recent papers on boundary field theories, it is taken for granted that Dirichlet or Neumann boundary conditions decide whether the ordinary or special boundary universality class is observed. While true in a certain sense for the Dirichlet boundary condition, this is not the case for the Neumann boundary condition. Building on results that have been worked out in the 1980s, but have not always been appropriately appreciated in the literature, the subtle role of boundary conditions and their scale dependence is elucidated and the question of whether or not they determine the observed boundary universality class is discussed. Graphical abstract

Factorization Algebras in Quantum Field Theory

2021 ◽  
Author(s):  
Kevin Costello ◽  
Owen Gwilliam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Local Structure ◽  
Field Theories ◽  
Operator Product ◽  
Quantum Field ◽  
Essential Information ◽  
Conformal Blocks ◽  
Factorization Algebras

Factorization algebras are local-to-global objects that play a role in classical and quantum field theory that is similar to the role of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses examples like associative and vertex algebras; in these examples, their global structure encompasses Hochschild homology and conformal blocks. In this second volume, the authors show how factorization algebras arise from interacting field theories, both classical and quantum, and how they encode essential information such as operator product expansions, Noether currents, and anomalies. Along with a systematic reworking of the Batalin–Vilkovisky formalism via derived geometry and factorization algebras, this book offers concrete examples from physics, ranging from angular momentum and Virasoro symmetries to a five-dimensional gauge theory.

Spirit as field of force

2014 ◽  
Vol 67 (1) ◽  
pp. 15-32
Author(s):  
Theodore James Whapham
Keyword(s):  
Field Theory ◽  
Holy Spirit ◽  
Natural Sciences ◽  
Field Theories ◽  
Central Feature ◽  
The Holy Spirit ◽  
Modern Physics ◽  
Wolfhart Pannenberg ◽  
The Individual

AbstractIt is a familiar refrain in various theological conversations that pneumatology has been woefully underdeveloped in Western theology since the time of Augustine. However, some theologians are working to correct this situation and to develop new ways of understanding the person of the Holy Spirit in ways which are faithful to traditional theological sources. Wolfhart Pannenberg is one such theologian. One way in which he seeks to revitalise contemporary pneumatology is by appealing to field theory as it has been developed in modern physics. Pannenberg justifies such a move by investigating the etymological and philosophical roots of both field theory and pneumatology in the Stoic understanding of the doctrine of the πνεῦμα as the field of all material existence. While the Stoic notion of field was rejected by the apologists as a way of understanding, because of its inherent materialism, this possibility has been reopened by modern physicists who have developed field theories as a way of understanding the animating and binding qualities of nature which are devoid of materialism. Pannenberg takes up this language in a distinctive way to describe the unity of the Godhead in order to avoid modalism and to undo emphasis on rationality which has been the central feature of much of modern Western pneumatology. He also draws upon field theory to understand the activity of the Spirit in creation as its animating and unitive property, while preserving the freedom and individuality of creaturely existence. The author argues that this distinctive feature of Pannenberg's use of field theory in pneumatology has laid the ground work for a renewed understanding of the role of the Spirit in creation and a new avenue of conversation between theology and the natural sciences. In particular, field theory should be seen as an important way of understanding the loving relations between persons which is grounded in a mutual self-giving which respects the individual, in contrast to those who ground love primarily in compassionate suffering.

scholarly journals Einstein Geometrization Philosophy and Differential Identities in PAP-Geometry

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
M. I. Wanas ◽  
Nabil L. Youssef ◽  
W. El Hanafy ◽  
S. N. Osman
Keyword(s):  
Bianchi Identity ◽  
Field Theories ◽  
Field Equations ◽  
Least Action Principle ◽  
Differential Identity ◽  
Differential Identities ◽  
Absolute Parallelism ◽  
Least Action ◽  
The Least Action Principle

The importance of Einstein’s geometrization philosophy, as an alternative to the least action principle, in constructing general relativity (GR), is illuminated. The role of differential identities in this philosophy is clarified. The use of Bianchi identity to write the field equations of GR is shown. Another similar identity in the absolute parallelism geometry is given. A more general differential identity in the parameterized absolute parallelism geometry is derived. Comparison and interrelationships between the above mentioned identities and their role in constructing field theories are discussed.

NO-GO THEOREMS FOR NONSUPERSYMMETRIC FINITE QUANTUM FIELD THEORIES

1994 ◽  
Vol 09 (12) ◽  
pp. 1093-1103 ◽  
Author(s):  
PETER GRANDITS
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Gauge Invariance ◽  
Field Theories ◽  
Special Role ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Finiteness Conditions ◽  
Yukawa Couplings

We consider the finiteness conditions on the Yukawa couplings of a general quantum field theory for groups SU (N). Their gauge invariance leads us to the necessary structure of the couplings, and for some cases the nonexistence of non-trivial solutions is proved. Somewhat miraculously a special role of SU(5) emerges as a possible case of evading these no-go theorems.

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