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Fractional instanton of the SU(3) gauge theory in weak coupling regime
http://repo.scoap3.org/record/32833
Motivated by recent studies on the resurgence structure of quantum field theories, we numerically study the nonperturbative phenomena of the SU(3) gauge theory in a weak coupling regime. We find that topological objects with a fractional charge emerge if the theory is regularized by an infrared (IR) cutoff via the twisted boundary conditions. Some configurations with nonzero instanton number are generated as a semi-classical configuration in the Monte Carlo simulation even in the weak coupling regime. Furthermore, some of them consist of multiple fractional-instantons. We also measure the Polyakov loop to investigate the center symmetry and confinement. The fractional-instanton corresponds to a solution linking two of degenerate ℤ 3 -broken vacua in the deconfinement phase.Itou, EtsukoMon, 27 May 2019 16:10:56 GMThttp://repo.scoap3.org/record/32833urn:ISSN:1029-8479Springer/SISSA2019-05-17Thermodynamics for pure SU(2) gauge theory using gradient flow
http://repo.scoap3.org/record/31675
We study the equation of state of pure SU( ) gauge theory using Monte Carlo simulations. The scale setting of lattice parameters has been carried by using the gradient flow. We propose a reference scale for the SU( ) gauge theory satisfying , which is fixed by a natural scaling down of the standard scale for the SU( ) case based on perturbative analyses. We also show the thermodynamic quantities as a function of , which are derived by the energy–momentum tensor using the small-flow-time expansion of the gradient flow.Hirakida, TMon, 18 Mar 2019 19:13:38 GMThttp://repo.scoap3.org/record/31675urn:ISSN:1347-4081Oxford University Press/Physical Society of Japan2019-03-17Entanglement in four-dimensional SU(3) gauge theory
http://repo.scoap3.org/record/15977
We investigate the quantum entanglement entropy for the four-dimensional Euclidean SU(3) gauge theory. We present the first non-perturbative calculation of the entropic -function ( ) of SU(3) gauge theory in lattice Monte Carlo simulation using the replica method. For fm, where is the length of the subspace, the entropic -function is almost constant, indicating conformally invariant dynamics. The value of the constant agrees with that perturbatively obtained from free gluons, with 20% discrepancy. When is close to the scale, the entropic -function decreases smoothly, and it is consistent with zero within error bars at fm.Itou, EtsukoFri, 10 Jun 2016 11:20:31 GMThttp://repo.scoap3.org/record/15977urn:ISSN:1347-4081Oxford University Press/Physical Society of Japan2016-06-02Lattice study on QCD-like theory with exact center symmetry
http://repo.scoap3.org/record/12828
We investigate QCD-like theory with exact center symmetry, with emphasis on the finite-temperature phase transition concerning center and chiral symmetries. On the lattice, we formulate center symmetric SU(3) gauge theory with three fundamental Wilson quarks by twisting quark boundary conditions in a compact direction ( Z 3 -QCD model). We calculate the expectation value of Polyakov loop and the chiral condensate as a function of temperature on 16 3 × 4 and 20 3 × 4 lattices along the line of constant physics realizing m PS / m V = 0.70. We find out the first-order center phase transition, where the hysteresis of the magnitude of Polyakov loop exists depending on thermalization processes. We show that chiral condensate decreases around the critical temperature in a similar way to that of the standard three-flavor QCD, as it has the hysteresis in the same range as that of Polyakov loop. We also show that the flavor symmetry breaking due to the twisted boundary condition gets qualitatively manifest in the high-temperature phase. These results are consistent with the predictions based on the chiral effective model in the literature. Our approach could provide novel insights to the nonperturbative connection between the center and chiral properties.Iritani, TakumiThu, 26 Nov 2015 14:19:31 GMThttp://repo.scoap3.org/record/12828urn:ISSN:1029-8479Springer/SISSA2015-11-23A novel scheme for the wave function renormalization of the composite operators
http://repo.scoap3.org/record/10194
We propose a novel renormalization scheme for the hadronic operators. The renormalization factor of the operator in this scheme is normalized by the correlation function at tree level in coordinate space. If we focus on the pseudo scalar operator, then its renormalization factor is related to the mass renormalization factor of the fermion through the partially conserved axial-vector current relation. Using the renormalization factor for the pseudo scalar operator in our scheme, we obtain the mass anomalous dimension of the SU( ) gauge theory coupled to massless fundamental fermions, which has an infrared fixed point (IRFP). The mass anomalous dimension at the IRFP is estimated as .Itou, EtsukoWed, 06 May 2015 08:31:54 GMThttp://repo.scoap3.org/record/10194urn:ISSN:1347-4081Oxford University Press/Physical Society of Japan2015-04-15