The Universal Coefficient Theorem and Quantum Field Theory

A Topological Guide for the Duality Seeker

Nonfiction, Science & Nature, Mathematics, Topology, Science, Physics, Quantum Theory
Cover of the book The Universal Coefficient Theorem and Quantum Field Theory by Andrei-Tudor Patrascu, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Andrei-Tudor Patrascu ISBN: 9783319461434
Publisher: Springer International Publishing Publication: September 23, 2016
Imprint: Springer Language: English
Author: Andrei-Tudor Patrascu
ISBN: 9783319461434
Publisher: Springer International Publishing
Publication: September 23, 2016
Imprint: Springer
Language: English

This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of non-perturbative physics—one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the ER-EPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of non-perturbative physics—one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the ER-EPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics.

More books from Springer International Publishing

Cover of the book Oxidative Stress in Human Reproduction by Andrei-Tudor Patrascu
Cover of the book IIW Guidelines on Weld Quality in Relationship to Fatigue Strength by Andrei-Tudor Patrascu
Cover of the book Biomass and Biofuels from Microalgae by Andrei-Tudor Patrascu
Cover of the book Edible Insects in Sustainable Food Systems by Andrei-Tudor Patrascu
Cover of the book Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 8 by Andrei-Tudor Patrascu
Cover of the book Chaperokine Activity of Heat Shock Proteins by Andrei-Tudor Patrascu
Cover of the book Neuroradiology - Expect the Unexpected by Andrei-Tudor Patrascu
Cover of the book ROI in Public Health Policy by Andrei-Tudor Patrascu
Cover of the book MultiMedia Modeling by Andrei-Tudor Patrascu
Cover of the book Advances in Information Systems Development by Andrei-Tudor Patrascu
Cover of the book Pollen Tip Growth by Andrei-Tudor Patrascu
Cover of the book Interactive Collaborative Robotics by Andrei-Tudor Patrascu
Cover of the book Sensors, Algorithms and Applications for Structural Health Monitoring by Andrei-Tudor Patrascu
Cover of the book Lagrangian Oceanography by Andrei-Tudor Patrascu
Cover of the book Performability in Internet of Things by Andrei-Tudor Patrascu
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy