Quantum Yang-Mills theory: An overview of a program
نویسندگان
چکیده
منابع مشابه
Quantum Yang–mills Theory
Since the early part of the 20th century, it has been understood that the description of nature at the subatomic scale requires quantum mechanics. In quantum mechanics, the position and velocity of a particle are noncommuting operators acting on a Hilbert space, and classical notions such as “the trajectory of a particle” do not apply. But quantum mechanics of particles is not the whole story. ...
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We present a family of nonrelativistic Yang-Mills gauge theories in D+1 dimensions whose free-field limit exhibits quantum critical behavior with gapless excitations and dynamical critical exponent z = 2. The ground state wavefunction is intimately related to the partition function of relativistic Yang-Mills in D dimensions. The gauge couplings exhibit logarithmic scaling and asymptotic freedom...
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We perform the dual transformation of the Yang–Mills theory in d = 3 dimensions using the Wilson action on the cubic lattice. The dual lattice is made of tetrahedra triangulating a 3-dimensional curved manifold but embedded into a flat 6-dimensional space (for the SU(2) gauge group). In the continuum limit the theory can be reformulated in terms of 6-component gauge-invariant scalar fields havi...
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Quantum Yang–Mills theory can be rewritten in terms of gauge-invariant variables: it has the form of the so-called BF gravity, with an additional ‘æther’ term. The BF gravity based on the gauge group SU(N) is actually a theory of high spin fields (up to J = N ) with high local symmetry mixing up fields with different spins — as in supergravity but without fermions. As N → ∞ , one gets a theory ...
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We study the spectrum of the softly broken generalized Veneziano-Yankielowicz effective action for N = 1 SUSY Yang-Mills theory. Two dual formulations of the effective action are given. The spurion method is used for the soft SUSY breaking. Masses of the bound states are calculated and mixing patterns are discussed. Mass splittings of pure gluonic states are consistent with predictions of conve...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2018
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.98.014505