Universal Coefficient Theorem and Quantum Field Theory

Name: Universal Coefficient Theorem and Quantum Field Theory
Brand: Springer International Publishing AG
SKU: 9783319461427
Price: 433.29 PLN
Availability: InStock

A Topological Guide for the Duality Seeker

Autor: Andrei-Tudor Patrascu

Język:

Oprawa: Twarda

Wydawca: Springer International Publishing AG

Dostępność: Dostępna u dostawcy

Wysyłamy za 10-13 dni

433.29 zł

This thesis describes a new connection between algebraic geometry, topology, number theory and quant...

Informacje o książce

Autor

Andrei-Tudor Patrascu

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2016

strony

270

EAN

9783319461427

ISBN

3319461427

Enbook ID

13787318

Wydawca

Springer International Publishing AG

Waga

5561

Wymiary

155 x 235 x 17

Pełny opis

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.

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Universal Coefficient Theorem and Quantum Field Theory

A Topological Guide for the Duality Seeker

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