TY - JOUR

T1 - Nambu monopoles in lattice electroweak theory

AU - Bakker, B. L.G.

AU - Veselov, A. I.

AU - Zubkov, M. A.

PY - 2009

Y1 - 2009

N2 - We considered the lattice electroweak theory at realistic values of α and W and for large values of the Higgs mass. We investigated numerically the properties of topological objects that are identified with quantum Nambu monopoles. We have found that the action density near the Nambu-monopole worldlines exceeds the density averaged over the lattice in the physical region of the phase diagram. Moreover, their percolation probability is found to be an order parameter for the transition between the symmetric and the broken phases. Therefore, these monopoles indeed appear as real physical objects. However, we have found that their density on the lattice increases with increasing ultraviolet cutoff. Thus we conclude that the conventional lattice electroweak theory is not able to predict the density of Nambu monopoles. This means that the description of Nambu-monopole physics based on the lattice Weinberg-Salam model with finite ultraviolet cutoff is incomplete. We expect that the correct description may be obtained only within the lattice theory that involves the description of TeV-scale physics.

AB - We considered the lattice electroweak theory at realistic values of α and W and for large values of the Higgs mass. We investigated numerically the properties of topological objects that are identified with quantum Nambu monopoles. We have found that the action density near the Nambu-monopole worldlines exceeds the density averaged over the lattice in the physical region of the phase diagram. Moreover, their percolation probability is found to be an order parameter for the transition between the symmetric and the broken phases. Therefore, these monopoles indeed appear as real physical objects. However, we have found that their density on the lattice increases with increasing ultraviolet cutoff. Thus we conclude that the conventional lattice electroweak theory is not able to predict the density of Nambu monopoles. This means that the description of Nambu-monopole physics based on the lattice Weinberg-Salam model with finite ultraviolet cutoff is incomplete. We expect that the correct description may be obtained only within the lattice theory that involves the description of TeV-scale physics.

UR - http://www.scopus.com/inward/record.url?scp=66749138183&partnerID=8YFLogxK

U2 - 10.1088/0954-3899/36/7/075008

DO - 10.1088/0954-3899/36/7/075008

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AN - SCOPUS:66749138183

SN - 0954-3899

VL - 36

JO - Journal of Physics G: Nuclear and Particle Physics

JF - Journal of Physics G: Nuclear and Particle Physics

IS - 7

M1 - 075008

ER -