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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Random Tensors (Hardcover)
Loot Price: R2,936
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Random Tensors (Hardcover)
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Written by the creator of the modern theory of random tensors, this
book is the first self-contained introductory text to this rapidly
developing theory. Starting from notions familiar to the average
researcher or PhD student in mathematical or theoretical physics,
the book presents in detail the theory and its applications to
physics. The recent detections of the Higgs boson at the LHC and
gravitational waves at LIGO mark new milestones in Physics
confirming long standing predictions of Quantum Field Theory and
General Relativity. These two experimental results only reinforce
today the need to find an underlying common framework of the two:
the elusive theory of Quantum Gravity. Over the past thirty years,
several alternatives have been proposed as theories of Quantum
Gravity, chief among them String Theory. While these theories are
yet to be tested experimentally, key lessons have already been
learned. Whatever the theory of Quantum Gravity may be, it must
incorporate random geometry in one form or another. This book
introduces a framework for studying random geometries in any
dimensions. Building on the resounding success of random matrices
as theories of random two dimensional surfaces, random tensors are
their natural generalization to theories of random geometry in
arbitrary dimension. This book shows that many of the celebrated
results in random matrices, most notably 't Hooft's 1/N expansion,
can be generalized to higher dimensions. It provides a complete and
self-contained derivation of the key results on random tensors.
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