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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Tensorial Methods and Renormalization in Group Field Theories (Hardcover, 2014 ed.)
Loot Price: R3,549
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Tensorial Methods and Renormalization in Group Field Theories (Hardcover, 2014 ed.)
Series: Springer Theses
Expected to ship within 12 - 19 working days
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The main focus of this thesis is the mathematical structure of
Group Field Theories (GFTs) from the point of view of
renormalization theory. Such quantum field theories are found in
approaches to quantum gravity related, on the one hand, to Loop
Quantum Gravity (LQG) and on the other, to matrix- and tensor
models. Background material on these topics, including conceptual
and technical aspects, are introduced in the first chapters. The
work then goes on to explain how the standard tools of Quantum
Field Theory can be generalized to GFTs and exploited to study the
large cut-off behaviour and renormalization group transformations
of the latter. Among the new results derived in this context are a
proof of renormalizability of a three-dimensional GFT with gauge
group SU(2), which opens the way to applications of the formalism
to quantum gravity.
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