NDLI: Index Theory and Adiabatic Limit in QFT

Content Provider	Springer Nature Link
Author	Wawrzycki, Jarosław
Copyright Year	2013
Abstract	The paper has the form of a proposal concerned with the relationship between the three mathematically rigorous approaches to quantum field theory: (1) local algebraic formulation of Haag, (2) Wightman formulation and (3) the perturbative formulation based on the microlocal renormalization method. In this project we investigate the relationship between (1) and (3) and utilize the known relationships between (1) and (2). The main goal of the proposal lies in obtaining obstructions for the existence of the adiabatic limit (confinement problem in the phenomenological standard model approach). We extend the method of deformation of Dütsch and Fredenhagen (in the Bordeman-Waldmann sense) and apply Fedosov construction of the formal index—an analog of the index for deformed symplectic manifolds, generalizing the Atiyah-Singer index. We present some first steps in realization of the proposal.
Starting Page	2910
Ending Page	2942
Page Count	33
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	52
Issue Number	8
e-ISSN	15729575
Language	English
Publisher	Springer US
Publisher Date	2013-04-05
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Adiabatic limit Microlocal renormalization Deformation Fedosov’ formal index Atiyah-Singer-Connes-Moscovici index Physics Quantum Physics Elementary Particles, Quantum Field Theory Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Index Theory and Adiabatic Limit in QFT

Microlocal Analysis and Renormalization in Finite Temperature Field Theory

Fedosov Quantization of Fractional Lagrange Spaces

The Fedosov Manifolds and Non-Lagrangian Monopole-Type Systems

Adiabatic Quantum Gates

On the Circuit Model of Global Adiabatic Search Algorithm

On the Role of Prior Probability in Adiabatic Quantum Algorithms

Unstructured Adiabatic Quantum Search

Connes' Distance Function on One-Dimensional Lattices

Index Theory and Adiabatic Limit in QFT

Similar Documents

Index Theory and Adiabatic Limit in QFT

Microlocal Analysis and Renormalization in Finite Temperature Field Theory

Fedosov Quantization of Fractional Lagrange Spaces

The Fedosov Manifolds and Non-Lagrangian Monopole-Type Systems

Adiabatic Quantum Gates

On the Circuit Model of Global Adiabatic Search Algorithm

On the Role of Prior Probability in Adiabatic Quantum Algorithms

Unstructured Adiabatic Quantum Search

Connes' Distance Function on One-Dimensional Lattices

Index Theory and Adiabatic Limit in QFT