Correlation between confinement and chiral-symmetry breaking in the dual Higgs theory

Umisedo, S.; Suganuma, Hideo; Toki, H.

doi:10.1103/physrevd.57.1605

Cited by 10 publications

(8 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then, the quark-confinement mechanism can be physically interpreted with the dual Meissner effect in the abelian dual Higgs theory [10,11,[13][14][15] under the two assumptions of abelian dominance [9,10,14,16] and monopole condensation [17][18][19] in the abelian gauge.…”

Section: Introductionmentioning

confidence: 99%

Off-diagonal gluon mass generation and infrared Abelian dominance in the maximally Abelian gauge in lattice QCD

1999

View full text Add to dashboard Cite

We study effective mass generation of off-diagonal gluons and infrared Abelian dominance in the maximally Abelian ͑MA͒ gauge. Using SU͑2͒ lattice QCD, we investigate the propagator and the effective mass of the gluon field in the MA gauge with U(1) 3 Landau gauge fixing. The Monte Carlo simulation is performed on the 12 3 ϫ24 lattice with 2.2р␤р2.4, and also on the 16 4 and 20 4 lattices with 2.3р␤р2.4. In the MA gauge, the diagonal gluon component A 3 shows long-range propagation, and infrared Abelian dominance is found for the gluon propagator. In the MA gauge, the off-diagonal gluon component A Ϯ behaves as a massive vector boson with the effective mass M off Ӎ1.2 GeV in the region of rտ0.2 fm, and its propagation is limited within a short range. We conjecture that infrared Abelian dominance can be interpreted as infrared inactivity of the offdiagonal gluon due to its large mass generation induced by the MA gauge fixing. ͓S0556-2821͑99͒05223-6͔

show abstract

Section: Introductionmentioning

confidence: 99%

Off-diagonal gluon mass generation and infrared Abelian dominance in the maximally Abelian gauge in lattice QCD

1999

View full text Add to dashboard Cite

show abstract

“…The DGL theory can describe not only quark confinement [5] but also dynamical chiral-symmetry breaking (DχSB) by solving the Schwinger-Dyson equation for the quark field [5,6]. Monopole dominance for DχSB is also found from the analysis of the effective potential [7]. Using the DGL theory, we have studied the QCD phase transition (deconfinement [5,8] and chiral restoration [6]) at finite temperature, the QGP creation process in ultra-relativistic heavy-ion collisions [5,8], hadronization in the early universe [9], and glueball properties [10]…”

Section: Construction Of the Dgl Theory From The Lattice Qcd In Ma Gaugementioning

confidence: 99%

Infrared Abelian Dominance and Dual Higgs Mechanism in MA Gauge

Suganuma¹

2000

Nuclear Physics B - Proceedings Supplements

View full text Add to dashboard Cite

We study infrared abelian dominance and the dual Higgs mechanism in the maximally abelian (MA) gauge using the lattice QCD Monte Carlo simulation. In the MA gauge, the off-diagonal gluon phase tends to be random, and the off-diagonal gluon A ± µ acquires the effective mass as M off ≃ 1.2 GeV. From the monopole current in the MA gauge, we extract the dual gluon field B µ and estimate the dual gluon mass as m B ≃ 0.5 GeV. The QCD-monopole structure is also investigated in terms of off-diagonal gluons. From the lattice QCD in the MA gauge, the dual Ginzburg-Landau (DGL) theory can be constructed as a realistic infrared effective theory based on QCD. Strong Randomness of Off-diagonal Gluon Phase in MA gaugeWe find strong randomness of the off-diagonal gluon phase χ µ in the MA gauge using the SU(2) lattice QCD [1,2]. In fact, we find very small correlation between neighboring phases, χ µ (s) and χ µ (s+ν), on the lattice in the MA and U(1) 3 Landau gauge. This tendency seems natural because of the following reasons. Off-diagonal gluon phase χ µ is not constrained by the MA gauge-fixing condition at all, and the constraint from the QCD action is also small because of strong suppression of the off-diagonal gluon amplitude |A ± µ | in the MA gauge. Within the random phase-variable approximation, perfect abelian dominance for the string tension can be clearly demonstrated [1,2]. Propagator and Effective Mass of Off-diagonal Gluon in MA gaugeUsing the SU(2) lattice QCD with 12 3 ×24, 16 4 and 20 4 , we study the off-diagonal gluon propagator G off µµ (r) ≡ A + µ (x)A − µ (y) as the function of r ≡ (x − y) 2 in the MA gauge with U(1) 3 Landau gauge fixing [2,3]. From the slope of the logarithmic plot of r 3/2 G off µµ (r) in Fig.1(a), we get the off-diagonal gluon mass as M off ≃ 1.2 GeV in the MA gauge [2,3] as shown in Fig.1(b). Thus, in the MA gauge, the off-diagonal gluon cannot carry the long-range interaction such as the con- * finement force. This is the essence of infrared abelian dominance. In fact, QCD in the MA gauge behaves as a strong-coupling compact QED at the larger scale than M −1 off ≃ 0.2 fm [2,3]. 0.001 0.01 0.1 1 r 3/2 G µµ (r) 1.2 1.0 0.8 0.6 0.4 0.2 r [fm] r 3/2 G µµ off (r) r 3/2 G µµ Abel (r) 12 3 X 24,16 4 ,20 4 [GeV 1/2 ] Abel off β ---

show abstract

“…To conclude, lattice QCD in the MA gauge exhibits infrared abelian dominance and infrared monopole condensation, and hence the dual Ginzburg-Landau (DGL) theory [14,[22][23][24][25][26][27][28][29][30] can be constructed as the infrared effective theory based on QCD.…”

Section: Qcd-monopole Structure In Terms Of the Off-diagonal Gluonmentioning

confidence: 99%

Hadron Physics and Confinement Physics in Lattice QCD

Suganuma¹,

Amemiya²,

Ichie³

et al. 2001

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

We are aiming to construct Quark Hadron Physics and Confinement Physics based on QCD. Using SU(3) c lattice QCD, we are investigating the three-quark potential at T = 0 and T = 0, mass spectra of positive and negative-parity baryons in the octet and the decuplet representations of the SU(3) flavor, glueball properties at T = 0 and T = 0. We study also Confinement Physics using lattice QCD. In the maximally abelian (MA) gauge, the off-diagonal gluon amplitude is strongly suppressed, and then the off-diagonal gluon phase shows strong randomness, which leads to a large effective off-diagonal gluon mass, M off ≃ 1.2GeV. Due to the large off-diagonal gluon mass in the MA gauge, infrared QCD is abelianized like nonabelian Higgs theories. In the MA gauge, there appears a macroscopic network of the monopole world-line covering the whole system. From the monopole current, we extract the dual gluon field B µ , and examine the longitudinal magnetic screening. We obtain m B ≃ 0.5 GeV in the infrared region, which indicates the dual Higgs mechanism by monopole condensation. From infrared abelian dominance and infrared monopole condensation, low-energy QCD in the MA gauge is described with the dual Ginzburg-Landau (DGL) theory. Quark Hadron Physics from Lattice QCDQuantum chromodynamics (QCD) established as the fundamental theory of the strong interaction takes a simple form [ 1,2],however, it is still hard to understand nonperturbative phenomena, such as color confinement and dynamical chiral-symmetry breaking, due to the infrared strong-coupling feature [ 1,2]. In this decade, lattice QCD Monte Carlo calculations have been developed and have been mainly applied to (i) hadron spectroscopy and (ii) finite temperature QCD phase transition, with a great success. However, lattice QCD is applicable also to (iii) Quark Hadron Physics and (iv) Confinement Physics, as a useful and reliable method. Our group is aiming to construct Quark Hadron Physics and Confinement Physics based on lattice QCD. Our strategy is to adopt lattice QCD calculations to the relevant

show abstract

Correlation between confinement and chiral-symmetry breaking in the dual Higgs theory

Cited by 10 publications

References 49 publications

Off-diagonal gluon mass generation and infrared Abelian dominance in the maximally Abelian gauge in lattice QCD

Off-diagonal gluon mass generation and infrared Abelian dominance in the maximally Abelian gauge in lattice QCD

Infrared Abelian Dominance and Dual Higgs Mechanism in MA Gauge

Hadron Physics and Confinement Physics in Lattice QCD

Contact Info

Product

Resources

About