On Nonexistence of Magnetic Charge in Pure Yang-Mills Theories | Zendy

Alex Kovner | Zendy; Martin Lavelle | Zendy; D. Michael McMullan | Zendy

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On Nonexistence of Magnetic Charge in Pure Yang-Mills Theories

Author(s) -

Alex Kovner,

Martin Lavelle,

D. Michael McMullan

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/12/045

Subject(s) - magnetic monopole , physics , gauge theory , abelian group , lattice gauge theory , observable , scaling , vortex , hamiltonian lattice gauge theory , hilbert space , lattice (music) , theoretical physics , quantum electrodynamics , quantum mechanics , mathematics , geometry , pure mathematics , acoustics , thermodynamics

We prove that magnetic charge does not exist as a physical observable on thephysical Hilbert space of the pure SU(2) gauge theory. The abelian magneticmonopoles seen in lattice simulations are then interpreted as artifacts ofgauge fixing. The apparent physical scaling properties of the monopole densityin the continuum limit observed on the lattice are attributed to the correctscaling properties of physical objects - magnetic vortices, as first argued byGreensite et. al. We can show that a local gauge transformation of a certaintype can " create" abelian monopole-antimonopole pairs along magnetic vortices.This gauge transformation exists in pure SU(N) gauge theory at any $N$.Comment: Some references and comments adde

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