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Fermions and anomalies in quantum fi...

Bonora, L.

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Fermions and anomalies in quantum field theories

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fermions and anomalies in quantum field theories/ by Loriano Bonora.
Author:	Bonora, L.
Published:	Cham :Springer Nature Switzerland : : 2023.,
Description:	xxi, 473 p. :ill., digital ;24 cm.
[NT 15003449]:	Part I. Basic tools -- Chapter.1 Fermions -- Chapter 2. Classical and BRST Symmetries -- Chapter 3.Conformal symmetry -- Part II. Anomalies and cohomology -- Chapter 4.Eﬀective actions and anomalies -- Chapter 5.Cohomological analysis of anomalies -- Part III. Perturbative methods for anomalies -- Chapter 6.Feynman diagrams and regularizations -- Chapter 7.Perturbative diﬀeomorphism and trace anomalies -- Part IV. Nonperturbative methods. (A) heat kernel -- Chapter 8.Functional non-perturbative methods -- Chapter 9.Explicit non-perturbative derivations -- Chapter 10.Metric-axial-tensor (MAT) background -- Part V. Nonperturbative methods. (B) Index theorem -- Chapter 11.Geometry of anomalies -- Chapter 12.Anomalies as obstructions: the Atiyah-Singer family's index theorem -- Chapter 13.Global anomalies -- Part VI. Special topics -- Chapter 14.MAT in 2d -- Chapter 15.Wess-Zumino terms -- Chapter 16.Sigma model anomalies -- Chapter 17.Anomalies and (super)string theories -- Chapter 18. Literature and further readings.
Contained By:	Springer Nature eBook
Subject:	Fermions. -
Online resource:	https://doi.org/10.1007/978-3-031-21928-3
ISBN:	9783031219283

Fermions and anomalies in quantum field theories
Bonora, L.

Fermions and anomalies in quantum field theories[electronic resource] /by Loriano Bonora. - Cham :Springer Nature Switzerland :2023. - xxi, 473 p. :ill., digital ;24 cm. - Theoretical and mathematical physics,1864-5887. - Theoretical and mathematical physics..

Part I. Basic tools -- Chapter.1 Fermions -- Chapter 2. Classical and BRST Symmetries -- Chapter 3.Conformal symmetry -- Part II. Anomalies and cohomology -- Chapter 4.Eﬀective actions and anomalies -- Chapter 5.Cohomological analysis of anomalies -- Part III. Perturbative methods for anomalies -- Chapter 6.Feynman diagrams and regularizations -- Chapter 7.Perturbative diﬀeomorphism and trace anomalies -- Part IV. Nonperturbative methods. (A) heat kernel -- Chapter 8.Functional non-perturbative methods -- Chapter 9.Explicit non-perturbative derivations -- Chapter 10.Metric-axial-tensor (MAT) background -- Part V. Nonperturbative methods. (B) Index theorem -- Chapter 11.Geometry of anomalies -- Chapter 12.Anomalies as obstructions: the Atiyah-Singer family's index theorem -- Chapter 13.Global anomalies -- Part VI. Special topics -- Chapter 14.MAT in 2d -- Chapter 15.Wess-Zumino terms -- Chapter 16.Sigma model anomalies -- Chapter 17.Anomalies and (super)string theories -- Chapter 18. Literature and further readings.

This book presents a modern view of anomalies in quantum field theories. It is divided into six parts. The first part is preparatory covering an introduction to fermions, a description of the classical symmetries, and a short introduction to conformal symmetry. The second part of the book is devoted to the relation between anomalies and cohomology. The third part deals with perturbative methods to compute gauge, diffeomorphism and trace anomalies. In the fourth part the same anomalies are calculated with non-perturbative heat-kernel-like methods. Part five is devoted to the family's index theorem and its application to chiral anomalies, and to the differential characters and their applications to global anomalies. Part six is devoted to special topics including a complete calculation of trace and diffeomorphism anomalies of a Dirac fermion in a MAT background in two dimensions, Wess-Zumino terms in field theories, sigma models, their local and global anomalies and their cancelation, and finally the analysis of the worldsheet, sigma model, and target space anomalies of string and superstring theories. The book is targeted to researchers and graduate students.

ISBN: 9783031219283

Standard No.: 10.1007/978-3-031-21928-3doiSubjects--Topical Terms:

940457
Fermions.

LC Class. No.: QC793.5.F42

Dewey Class. No.: 539.721

Fermions and anomalies in quantum field theories
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100 1 $a Bonora, L. $3 3632704
245 1 0 $a Fermions and anomalies in quantum field theories $h [electronic resource] / $c by Loriano Bonora.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2023.
300 $a xxi, 473 p. : $b ill., digital ; $c 24 cm.
490 1 $a Theoretical and mathematical physics, $x 1864-5887
505 0 $a Part I. Basic tools -- Chapter.1 Fermions -- Chapter 2. Classical and BRST Symmetries -- Chapter 3.Conformal symmetry -- Part II. Anomalies and cohomology -- Chapter 4.Eﬀective actions and anomalies -- Chapter 5.Cohomological analysis of anomalies -- Part III. Perturbative methods for anomalies -- Chapter 6.Feynman diagrams and regularizations -- Chapter 7.Perturbative diﬀeomorphism and trace anomalies -- Part IV. Nonperturbative methods. (A) heat kernel -- Chapter 8.Functional non-perturbative methods -- Chapter 9.Explicit non-perturbative derivations -- Chapter 10.Metric-axial-tensor (MAT) background -- Part V. Nonperturbative methods. (B) Index theorem -- Chapter 11.Geometry of anomalies -- Chapter 12.Anomalies as obstructions: the Atiyah-Singer family's index theorem -- Chapter 13.Global anomalies -- Part VI. Special topics -- Chapter 14.MAT in 2d -- Chapter 15.Wess-Zumino terms -- Chapter 16.Sigma model anomalies -- Chapter 17.Anomalies and (super)string theories -- Chapter 18. Literature and further readings.
520 $a This book presents a modern view of anomalies in quantum field theories. It is divided into six parts. The first part is preparatory covering an introduction to fermions, a description of the classical symmetries, and a short introduction to conformal symmetry. The second part of the book is devoted to the relation between anomalies and cohomology. The third part deals with perturbative methods to compute gauge, diffeomorphism and trace anomalies. In the fourth part the same anomalies are calculated with non-perturbative heat-kernel-like methods. Part five is devoted to the family's index theorem and its application to chiral anomalies, and to the differential characters and their applications to global anomalies. Part six is devoted to special topics including a complete calculation of trace and diffeomorphism anomalies of a Dirac fermion in a MAT background in two dimensions, Wess-Zumino terms in field theories, sigma models, their local and global anomalies and their cancelation, and finally the analysis of the worldsheet, sigma model, and target space anomalies of string and superstring theories. The book is targeted to researchers and graduate students.
650 0 $a Fermions. $3 940457
650 0 $a Quantum field theory. $3 523766
650 1 4 $a Elementary Particles, Quantum Field Theory. $3 894026
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Theoretical and mathematical physics. $3 1566264
856 4 0 $u https://doi.org/10.1007/978-3-031-21928-3
950 $a Physics and Astronomy (SpringerNature-11651)