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Feynman Path Integral Formulation

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Acknowledgements<br />

Over the years I have greatly benefitted from discussions with James Bjorken,<br />

Thibault Damour, Stanley Deser, James Hartle, Hikaru Kawai, Yoshihisa Kitazawa,<br />

Giorgio Parisi, Mike Peskin, Tullio Regge, Gabriele Veneziano and Jean Zinn-<br />

Justin, and many other colleagues, whose insights, benevolent criticisms and encouragements<br />

have affected the content of this work. Most of all I would like to<br />

thank Ruth Williams for her longstanding collaboration on a number of key topics<br />

covered extensively in this book, and for her careful reading of many parts of the<br />

manuscript. I also wish to thank Ido Adam, Hermann Nicolai, Alvaro Restuccia,<br />

Robert Schrader and Stefan Theisen for their diligent reading, constructive criticism<br />

and helpful comments on an early draft of the manuscript. Finally I wish to thank<br />

my students, who over the years were exposed, both in the quantum field theory and<br />

general relativity classes, to some of the topics appearing here now in book form.<br />

The writing of this book would not have been possible without a generous research<br />

grant from the Max Planck Gesellschaft zur Förderung der Wissenschaften.<br />

The author wishes to thank Hermann Nicolai and the staff at the Max Planck Institut<br />

für Gravitationsphysik (Albert-Einstein-Institut) in Berlin-Potsdam for a very warm<br />

hospitality, and a memorable stay.<br />

xiii

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