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1

Fatibene, Lorenzo. Natural and gauge natural formalism for classical field theorie[s]: A geometric perspective including spinors and gauge theories. Dordrecht: Kluwer Academic, 2002.

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2

Fatibene, Lorenzo, and Mauro Francaviglia. Natural and Gauge Natural Formalism for Classical Field Theorie. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2384-8.

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3

1950-, Müller Berndt, ed. Gauge theory of weak interactions. 4th ed. Heidelberg: Springer, 2009.

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4

Pokorski, Stefan. Gauge field theories. Cambridge: Cambridge University Press, 1987.

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5

Frampton, Paul H. Gauge field theories. Menlo Park, Calif: Benjamin/Cummings, 1987.

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6

Pokorski, Stefan. Gauge field theories. Cambridge: Cambridge University Press, 1987.

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7

Gauge field theories. 2nd ed. New York: Wiley, 2000.

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8

Gauge field theories. 2nd ed. Cambridge, U.K: Cambridge University Press, 2000.

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9

Gauge field theories. 3rd ed. Weinheim: Wiley-VCH, 2008.

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10

A, Shifman Mikhail, ed. Instantons in gauge theories. Singapore: World Scientific, 1994.

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11

Lattice gauge theories: An introduction. Singapore: World Scientific, 1992.

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12

Lattice gauge theories: An introduction. 2nd ed. Singapore: World Scientific, 1997.

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13

O'Raifeartaigh, Lochlann. Group structure of gauge theories. Cambridge: Cambridge University Press, 1988.

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14

Henn, Johannes M., and Jan C. Plefka. Scattering Amplitudes in Gauge Theories. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54022-6.

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15

1958-, Reuter Martin, ed. Selected topics in gauge theories. Berlin: Springer-Verlag, 1986.

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16

Lattice gauge theories: An introduction. 4th ed. Hackensack, N.J: World Scientific, 2012.

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17

Gribov, V. N. Gauge theories and quark confinement. Moscow: PHASIS, 2002.

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18

Group structure of gauge theories. Cambridge [Cambridgeshire]: Cambridge University Press, 1986.

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19

O'Raifeartaigh, Lochlainn. Group structure of gauge theories. Cambridge: Cambridge University Press, 1986.

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20

Modern differential geometry in gauge theories. Boston, MA: Birkhäuser, 2005.

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21

Narlikar, Jayant V., and T. Padmanabhan. Gravity, Gauge Theories and Quantum Cosmology. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4508-1.

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22

Asanov, G. S. Finsler Geometry, Relativity and Gauge Theories. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5329-1.

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23

Mallios, Anastasios. Modern Differential Geometry in Gauge Theories. Boston: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4634-9.

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24

Teschner, Jörg, ed. New Dualities of Supersymmetric Gauge Theories. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-18769-3.

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25

Narlikar, Jayant V. Gravity, Gauge Theories and Quantum Cosmology. Dordrecht: Springer Netherlands, 1986.

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26

C, Taylor John, ed. Gauge theories in the twentieth century. London: Imperial College Press, 2001.

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27

1957-, Padmanabhan T., ed. Gravity, gauge theories, and quantum cosmology. Dordrecht, Holland: Reidel, 1986.

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28

T, Schücker, ed. Differential geometry, gauge theories, and gravity. Cambridge, [Cambridgeshire]: Cambridge University Press, 1987.

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29

Asanov, G. S. Finsler Geometry, Relativity and Gauge Theories. Dordrecht: Springer Netherlands, 1985.

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30

Finsler geometry, relativity and gauge theories. Dordrecht: D. Reidel, 1985.

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31

name, No. Unity from duality: gravity, gauge theory and strings: Les Houches, Session LXXVI, 30 July - 31 August 2001 = L'unite de la physique fondamentale: gravite, theorie de jauge et cordes. Berlin: Springer, 2003.

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32

Quantum gauge theories: A true ghost-story. New York: John Wiley & Sons, 2001.

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33

Gauge field theories: An introduction with applications. New York: Wiley, 1991.

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34

M, Francaviglia, ed. Natural and gauge natural formalism for classical field theories: A geometric perspective including spinors and gauge theories. Dordrecht: Kluwer Academic, 2003.

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35

Fatibene, Lorenzo. Natural and gauge natural formalism for classical field theories: A geometric perspective including spinors and gauge theories. Dordrecht: Springer Science+Business Media, 2003.

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36

Iyer, B. R. Gravitation, Gauge Theories and the Early Universe. Dordrecht: Springer Netherlands, 1989.

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37

Iyer, B. R., N. Mukunda, and C. V. Vishveshwara, eds. Gravitation, Gauge Theories and the Early Universe. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2577-9.

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38

Francaviglia, M., and L. Fatibene. Natural and Gauge Natural Formalism for Classical Field Theorie: A Geometric Perspective including Spinors and Gauge Theories. Springer, 2014.

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39

Kachelriess, Michael. Gauge theories. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0010.

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After reviewing electrodynamics as the special case of an abelian gauge theory, this local symmetry is generalised to non-abelian gauge theories. The curvature of space-time is introduced as analogue of the non-abelian field-strength. Non-abelian gauge theories are quantised using the Fadeev–Popov method and the resulting Feynman rules are derived.
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40

Kibble. Gauge Theories. University of Cambridge ESOL Examinations, 2000.

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41

Frampton, Paul H. Gauge Field Theories. Wiley & Sons, Incorporated, John, 2008.

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42

Frampton, Paul H. Gauge Field Theories. Wiley & Sons, Limited, John, 2008.

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43

Landshoff, P. V., D. R. Nelson, D. W. Sciama, S. Weinberg, and Stefan Pokorski. Gauge Field Theories. Cambridge University Press, 2005.

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44

Pokorski, Stefan. Gauge Field Theories. Cambridge University Press, 2000.

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45

Pokorski, Stefan. Gauge Field Theories. Cambridge University Press, 2010.

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46

McLarty, Colin. The Roles of Set Theories in Mathematics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198748991.003.0001.

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What mathematicians know and use about sets varies across branches of mathematics but rarely includes such fundamental aspects of Zermelo–Fraenkel (ZF) set theory as the iterative hierarchy. All mathematicians know and use the axioms of the Elementary Theory of the Category of Sets (ETCS), though few know ETCS or any set theory by name. The chapter depicts the iterative hierarchy of ZF and constructibility as gauge theories. Since gauge theories are prominently used in physics, so these are used in work on the continuum hypothesis, large cardinals, and provability in arithmetic. But mathematicians outside logic avoid these gauges and work with structures only up to isomorphism, as does ETCS.
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47

Brink, Lars, Marc Henneaux, and Mikhail A. Vasiliev. Higher Spin Gauge Theories. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/10142.

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48

Shifman, M. Instantons in Gauge Theories. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/2281.

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49

Blagojević, Milutin, Friedrich W. Hehl, and T. W. B. Kibble. Gauge Theories of Gravitation. IMPERIAL COLLEGE PRESS, 2011. http://dx.doi.org/10.1142/p781.

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50

Higher Spin Gauge Theories. MDPI, 2018. http://dx.doi.org/10.3390/books978-3-03842-998-2.

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