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VARIATIONAL ANALYSIS OF CUMULANT EXPANSION IN SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS
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By using the cumulant expansion variational method,we study the SU(2) lattice action including six-link loops which satify the request of Symanzik.The average values of the plaquette and six-link loop up to second order approximation are calculated.Our results are consistant with Monte Carlo data. 相似文献
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The variational method in Lagrangian formalism has been applied to investigate the SU(3) Wilson model in lattice gauge theory. No phase transition point has been found. The result is in agreement with that obtained by Monte Carlo simulations. 相似文献
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本文用Monte Carlo方法对四维对称格点规范理论中具有较好标度性行为的单元格EXP作用量计算了重夸克-反夸克势。计算中利用了重整化群处理方法和SU(2)群的正二十面体子群近似。计算结果与维象的弦理论给出的库仑势加线性势的形式一致。
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By combining Monte Carlo method and variational method,we calculate the mass gap of SU(2) lattice gauge theory in 18*18 lattice of 2+1 dimensions by means of the icosaheral subgroup (Y120) using a hamiltonian of which the ground state is exactly known.In the range 0<1/g2,we obtain the results which are in good agreement with analytical calculation of SU(2) group.The scaling behaviour of mass gap am=2.3g2 is confirmed. 相似文献
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VARIATIONAL ANALYSIS OF THE PHASE STRUCTURE OF THE SU(3) LATTICE GAUGE THEORY WITH A MIXED FUNDAMENTAL-ADJOINT ACTION
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The variational analysis of the phase structure of the SU(3) lattice gauge theory with a mixed fundamental-adjoint action is presented. All transitions are found to be the first order. The shape of the first order transition line is roughly consistent with the one given by Monte Carlo method. 相似文献
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We study the monopole solutions of the SU(N) gauge group systematically,generalize the current synchro-spherical symmetrical monopole to the multi synchro-spherical symmetrical case,and give the complete classification of the monopole so-lutions.As examples,we have calculated the SU(3) and SU(4) monopoles in detail,and discuss some problems such as angular momenta and topological quantum num-bers. 相似文献
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XU Zai-xin 《理论物理通讯》1987,7(4):369-374
By using the modified MK renormalization transformation, the phase boundaries and renormalization trajectories of the couplings for an SU(2) single plaquette action with variable compments of spin 1/2 and spin 1 in the whole coupling parameter space are obtained. The results are discussed. 相似文献
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Using cumulant expansion method, we obtain gloun condensation for pure SU (2) gauge theory analytically. 相似文献
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The Hamiltonian of lattice gauge theory with fermions is diagonalized in the one-link approximation and the meson spectrum of SU(N) theory with one flavor is derived. 相似文献
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The variational-cumulant expansion method has been extended to the case of lattice SU(3) Wilson model.The plaquette energy as an order parameter has calculated to the 2nd order expansion.No 1st order phase transition in the d=4 case is found which is in agreement with the monte Carlo results,and the 1st order phase transition in the d=5 case is clearly seen.The method can be used in the study of problems is LGT with SU(3) gauge group. 相似文献
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A variational calculation of the mass gap in 2+1 dimensional SU(2) lattice gauge theory by using a Hamiltonian with the ground state being exactly known is made.In the range 0≤1/g2≤7,a good scaling behaviour am=2.28g2 is obtained,which is in agreement with weak-coupling perturbation theory. 相似文献
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We investigate the lattice gauge theory with a gauge group UxV(1) where U is a non-Abelian group and V(1) is a chiral Abelian group.In the strong coupling approximation for the U gauge field we find that the V(1) chiral symmetry is realized through parity doublets of composite fermions for strong V(1) coupling and that it is spontaneousely broken through a techni color-like mechanism for weak V(1) coupling. 相似文献
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An improved trial action in the variational approach of the lattice gauge field theory is in-troduced to acquire better lower bound for the convexity Inequality and used to calculate the phase structure of the SU(2)-SO(3) pure gauge system. The improvement is seen in comparing the old and new variational results with that by the Monte Carlo simulation. 相似文献
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A variational method based on Hölder integral inequality is presented. Taking the parameters in integral inequality as variational parameters, we can calculate the free energy in lattice gauge system. The plaquatte energy of Z2 、U(1)、 SU(2) gauge system is found and consistent with that given by Monte Carlo method. But, the higher phase transitions for U(1), SU(2) gauge systems are not found. 相似文献
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We present a variational calculation of C=+1 and C=-1 glueball masses in 2+1 dimensional SU(3) lattice gauge theory using a Hamiltonian in which the ground state is exactly known.In the range 0<1/g2≤6,we obtain good scaling behaviour am+=36.1g2 and am-=5.98g2. 相似文献
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CHEN De-Fang SONG Yong-Shen CHEN Tian-Lun ZHENG Xi-Te HE Xiang-Hao XIAN Ding-Chang 《中国物理C(英文版)》1986,10(1):32-39
The relation between the saddle point approximation and the action variational method in the lattice gauge field theory is discussed. It is expounded that in the thermodynamical limit by using a trial action composed of mean fields, the variational approach leads to the results as well as the higher order corrections obtained in the saddle point approximation. It is also pointed out that order by order corrections to the variational approach can be worked out systematically in an improved variational approach. 相似文献