Hamiltonian mechanics of field theory can be formulated in a generally covariant and background independent manner over a finite dimensional extended configuration space. The physical symplectic structure of the theory can then be defined over a space G of three-dimensional surfaces without boundary, in the extended configuration space. These surfaces provide a preferred over-coordinatization o...

A method is proposed of constructing quantum correlators for a general gauge system whose classical equations of motion do not necessarily follow from the least action principle. The idea of the method is in assigning a certain BRST operator Ω̂ to any classical equations of motion, Lagrangian or not. The generating functional of Green’s functions is defined by the equation Ω̂Z(J) = 0 that is redu...

Printed and bound in Great Britain by Antony Rowe Ltd, Chippenham, Wiltshire This book is printed on acid-free paper responsibly manufactured from sustainable forestry, in which at least two trees are planted for each one used for paper production. Contents Foreword xi Editor's preface to the Manchester Physics Series xiii Author's preface xv 1 PLANCK'S CONSTANT IN ACTION 1.1 Photons 1 1.2 De B...

It is shown that all strongly symmetric elements are solutions of constant classical Yang-Baxter equation in Lie algebra, or of quantum Yang-Baxter equation in algebra. Otherwise, all solutions of constant classical Yang-Baxter equation (CYBE) in Lie algebra L with dim L ≤ 3 over field k of characteristic 2 are obtained 0 Introduction The Yang-Baxter equation first came up in a paper by Yang as...