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(1) Gauge Theory

Looking behind the Standard Model with lattice gauge theory

Looking behind the Standard Model with lattice gauge theory

... effective theory limited to low energies, one seeks an ultraviolet theory from which it can ...free gauge theory with spin-1/2 matter, so that fundamental renormalizations are only ...

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Finite-density phase diagram of a $(1+1)-d$ non-abelian lattice gauge theory with tensor networks

Finite-density phase diagram of a $(1+1)-d$ non-abelian lattice gauge theory with tensor networks

... We investigate the finite-density phase diagram of a non-abelian SU(2) lattice gauge theory in (1+1)-dimensions using tensor network methods. We numerically characterise the phase diagram as a func- tion of ...

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Homotopy colimits and global observables in Abelian gauge theory

Homotopy colimits and global observables in Abelian gauge theory

... global gauge field configurations and observables by homotopy theoretic ...classical gauge theory, namely that whose structure group is the circle group G = T = U ...of gauge potentials in ...

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The Mathematical Foundations of Gauge Theory Revisited

The Mathematical Foundations of Gauge Theory Revisited

... of Gauge Theory (GT) leading to Yang-Mills equations are always presented in textbooks or papers without quoting/taking into account the fact that the group theoretical methods involved are exactly the same ...

14

The Gravity Gauge Theory and Gravity Field Equation in Flat Space

The Gravity Gauge Theory and Gravity Field Equation in Flat Space

... general theory of gravity (GR) is treated as geometry of curved space-time, which appears to provide a successful macroscopic description of all known gravitational phenomena; it is of interest to explore ...

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General Relativity with a Positive Cosmological Constant as a Gauge Theory.

General Relativity with a Positive Cosmological Constant as a Gauge Theory.

... gravitational theory as a gauge ...a gauge theory with gauge group L = SO(1, 3) isomorphic to SL(2, C ...Einstein theory: every alternative metric theory of gravity can be ...

14

A Renormalizable Theory of Quantum Gravity: Renormalization Proof of the Gauge Theory of Volume Preserving Diffeomorphisms

A Renormalizable Theory of Quantum Gravity: Renormalization Proof of the Gauge Theory of Volume Preserving Diffeomorphisms

... quantum gauge field theory not only for compact gauge groups, but also for at least the non-compact gauge group of volume-preserving ...the theory establishes one well- defined version ...

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An intermediate coupling expansion for hamiltonian lattice gauge theory

An intermediate coupling expansion for hamiltonian lattice gauge theory

... calculation of the off-axis string tension in the Hamiltonian formulation of lattice gauge theory presents an extremely complicated problem and the intermediate-coupling expansion may pr[r] ...

230

Lattice gauge theory with fluctuating temperature

Lattice gauge theory with fluctuating temperature

... To determine the equation of state for the superstatistical SU(2) Yang-Mills lattice gauge theory we calculate the en- ergy density and pressure similar way as it is done in the conventional case. There ...

6

Problems of the gauge theory of weak, electromagnetic and strong interactions

Problems of the gauge theory of weak, electromagnetic and strong interactions

... e gauge c o u p l i n g o f weak i n t e r a c t i o n s ) c a n b e m e a s u r e d i n t h e n e u t r a l - c u r r e n t i n t e r a c t i o n s ...f gauge g r o u p ...

265

Mapping spaces, configuration spaces and gauge theory

Mapping spaces, configuration spaces and gauge theory

... For smooth manifolds with odd intersection form, we know from theo­ rems 3.4 and 3.6 that the intersection form is isomorphic to m ( l ) © n( —1) for some m , n € N , and it follows that each such manifold is homeomor- ...

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Computer algorithms for Euclidean lattice gauge theory calculations

Computer algorithms for Euclidean lattice gauge theory calculations

... The fact remains, however, that this algorithm has not yet been extended to calculations in 3+ 1 dimensions, the algorithm presented in this thesis is still the only existing algorithm f[r] ...

107

Gauge theory and supergravity duality in the pp wave background

Gauge theory and supergravity duality in the pp wave background

... This thesis is organized as follows. Chapter 2 briefly reviews the pp-wave ge- ometry and the matrix theory action in this background. It also explains how the gravitons and the membranes are represented in matrix ...

144

Symmetries of toric duality

Symmetries of toric duality

... Now let us turn to the Inverse Algorithm of finding the gauge theory given a toric singularity. It is a good place to point out here that the process used in the standard Inverse Algorithm, commonly ...

35

Two dimensional gauge theories and quantum integrable systems

Two dimensional gauge theories and quantum integrable systems

... Yang-Mills theory and the Bethe Ansatz equations for the quantum theory of the Nonlinear Schr¨ oinger equation was ...Yang-Mills-Higgs theory considered in [1] captures the hy- perk¨ahler geometry of ...

29

Monopoles and the Nahm transform

Monopoles and the Nahm transform

... a gauge theory with a non-abelian structure group, and whose base space need not be topologically ...our gauge potential can be seen to globally take values in the Lie algebra of G, by making the ...

102

Three loop gauge beta-function for the most general single gauge-coupling theory

Three loop gauge beta-function for the most general single gauge-coupling theory

... the gauge hierarchy ...field theory exists on an orbifold. The low energy theory (obtained by breaking the conformal invariance softly, by the addition of operators of dimension less than four) can ...

10

Ultra-violet finiteness in noncommutative supersymmetric theories

Ultra-violet finiteness in noncommutative supersymmetric theories

... 4 theory [15], are naturally finite; such theories may have N = 2 or N = 1 supersymmetry or indeed may be ...their gauge group, which is typically a product of U (N c ) ...supersymmetric gauge ...

8

Gauge invariant Hamiltonian formulation of lattice Yang Mills theory

Gauge invariant Hamiltonian formulation of lattice Yang Mills theory

... the gauge-invariant formulation of the classical lattice Yang-Mills theory and then to quantize it in some gauge (for example in the temporal ...Yang-Mills theory and as an example of a useful ...

11

Magnetic Global Monopoles from Torsion

Magnetic Global Monopoles from Torsion

... a gauge theory where the gauge symmetry was spontaneously broken by elementary scalar fields ...the gauge group is S U(2) which is spontaneously broken to U(1) the gauge group of ...the ...

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