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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Gauge Theories & Differential Geometry (Hardcover)
Loot Price: R5,894
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Gauge Theories & Differential Geometry (Hardcover)
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This book revisits the mathematical foundations of thermodynamics
and gauge theory by using new differential geometric methods coming
from the formal theory of systems of partial differential equations
and Lie pseudogroups. The gauge theory of gravity is also
established, in which spinorial and ventorial matter fields serve
as gravitating sources. The potential applications of the present
gauge theory of gravity, including quantum-vacuum-energy gravity,
cosmological constant problem and gravity-gauge unification is also
addressed. The third chapter focuses on a gravitational gauge
theory with spin connection and vierbein as fundamental variables
of gravity. Next, the place and physical significance of Poincare
gauge theory of gravity (PGTG) in the framework of gauge approach
to gravitation is discussed. A cutoff regularization method in
gauge theory is discussed in Chapter Five. The remaining chapters
in the book focus on differential geometry, in particular, the
authors show how fractional differential derived from fractional
difference provides a basis to expand a theory of fractional
differential geometry which would apply to non-differentiable
manifolds; a review of the infinitesimal Baker-Campbell-Hausdorff
formula is provided and the book concludes with a short
communication where the authors focus on local stability, and
describe how this leads naturally into the question of finite-time
singularities and generalized soliton solutions.
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