Topology and Quantum Theory in Interaction
Regular price
€123.99
Regular price
€127.99
Sale
Sale price
€123.99
14 days return policy
Shipping & Delivery
Age Group_Uncategorized
Age Group_Uncategorized
automatic-update
B01=Daniel S. Freed
B01=David Ayala
B01=Ryan E. Grady
Category1=Non-Fiction
Category=PBM
Category=PBP
Category=PHU
COP=United States
Delivery_Delivery within 10-20 working days
eq_bestseller
eq_isMigrated=0
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Language_English
PA=Available
Price_€100 and above
PS=Active
softlaunch
Product details
- ISBN 9781470442439
- Weight: 388g
- Dimensions: 178 x 254mm
- Publication Date: 30 Nov 2018
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
- Language: English
Secure
checkout
Fast Shipping
Easy returns
This volume contains the proceedings of the NSF-CBMS Regional Conference on Topological and Geometric Methods in QFT, held from July 31-August 4, 2017, at Montana State University in Bozeman, Montana.
In recent decades, there has been a movement to axiomatize quantum field theory into a mathematical structure. In a different direction, one can ask to test these axiom systems against physics. Can they be used to rederive known facts about quantum theories or, better yet, be the framework in which to solve open problems? Recently, Freed and Hopkins have provided a solution to a classification problem in condensed matter theory, which is ultimately based on the field theory axioms of Graeme Segal.
Papers contained in this volume amplify various aspects of the Freed-Hopkins program, develop some category theory, which lies behind the cobordism hypothesis, the major structure theorem for topological field theories, and relate to Costello's approach to perturbative quantum field theory. Two papers on the latter use this framework to recover fundamental results about some physical theories: two-dimensional sigma-models and the bosonic string. Perhaps it is surprising that such sparse axiom systems encode enough structure to prove important results in physics. These successes can be taken as encouragement that the axiom systems are at least on the right track toward articulating what a quantum field theory is.
In recent decades, there has been a movement to axiomatize quantum field theory into a mathematical structure. In a different direction, one can ask to test these axiom systems against physics. Can they be used to rederive known facts about quantum theories or, better yet, be the framework in which to solve open problems? Recently, Freed and Hopkins have provided a solution to a classification problem in condensed matter theory, which is ultimately based on the field theory axioms of Graeme Segal.
Papers contained in this volume amplify various aspects of the Freed-Hopkins program, develop some category theory, which lies behind the cobordism hypothesis, the major structure theorem for topological field theories, and relate to Costello's approach to perturbative quantum field theory. Two papers on the latter use this framework to recover fundamental results about some physical theories: two-dimensional sigma-models and the bosonic string. Perhaps it is surprising that such sparse axiom systems encode enough structure to prove important results in physics. These successes can be taken as encouragement that the axiom systems are at least on the right track toward articulating what a quantum field theory is.
David Ayala, Montana State University, Bozeman, MT.
Daniel S. Freed, University of Texas at Austin, TX.
Ryan E. Grady, Montana State University, Bozeman, MT.
Daniel S. Freed, University of Texas at Austin, TX.
Ryan E. Grady, Montana State University, Bozeman, MT.
