共查询到20条相似文献,搜索用时 605 毫秒
1.
The puzzle of apparent linear lattice artifacts in the 2d non-linear σ-model and Symanzik's solution
Lattice artifacts in the 2d O(n) non-linear σ -model are expected to be of the form O(a2), and hence it was (when first observed) disturbing that some quantities in the O(3) model with various actions show parametrically stronger cutoff dependence, apparently O(a), up to very large correlation lengths. In a previous letter Balog et al. (2009) [1] we described the solution to this puzzle. Based on the conventional framework of Symanzik's effective action, we showed that there are logarithmic corrections to the O(a2) artifacts which are especially large (ln3a) for n=3 and that such artifacts are consistent with the data. In this paper we supply the technical details of this computation. Results of Monte Carlo simulations using various lattice actions for O(3) and O(4) are also presented. 相似文献
2.
A complex symplectic structure on a Lie algebra h is an integrable complex structure J with a closed non-degenerate (2,0)-form. It is determined by J and the real part Ω of the (2,0)-form. Suppose that h is a semi-direct product g?V, and both g and V are Lagrangian with respect to Ω and totally real with respect to J. This note shows that g?V is its own weak mirror image in the sense that the associated differential Gerstenhaber algebras controlling the extended deformations of Ω and J are isomorphic. 相似文献
3.
We study integrable cases of pairing BCS hamiltonians containing several types of fermions. We prove that there exist three classes of such integrable models associated with classical rational r -matrices and Lie algebras gl(2m), sp(2m) and so(2m) correspondingly. We diagonalize the constructed hamiltonians by means of the algebraic Bethe ansatz. In the partial case of two types of fermions (m=2) the obtained models may be interpreted as N=Z proton–neutron integrable models. In particular, in the case of sp(4) we recover the famous integrable proton–neutron model of Richardson. 相似文献
4.
5.
We consider the possibility that the soft supersymmetry-breaking parameters m1/2 and m0 of the MSSM are universal at some scale Min below the supersymmetric grand unification scale MGUT, as might occur in scenarios where either the primordial supersymmetry-breaking mechanism or its communication to the observable sector involve a dynamical scale below MGUT. We analyze the (m1/2,m0) planes of such sub-GUT CMSSM models, noting the dependences of phenomenological, experimental and cosmological constraints on Min. In particular, we find that the coannihilation, focus-point and rapid-annihilation funnel regions of the GUT-scale CMSSM approach and merge when Min∼1012 GeV. We discuss sparticle spectra and the possible sensitivity of LHC measurements to the value of Min. 相似文献
6.
S.A. Leonel Amanda Castro Oliveira B.V. Costa Pablo Zimmermann Coura 《Journal of magnetism and magnetic materials》2006
Generally, in literature, easy-axis single ion anisotropy and easy-axis exchange anisotropy was treated in indistinct way. In this work we propose to perform a comparative study of the effects of these two easy-axis anisotropies on the behavior of the magnetization and the critical temperature (Tc) in the 2D classical Heisenberg antiferromagnetic model. In order to study the low-temperature thermodynamics of this model, we should consider the contribution of anisotropic spin waves, using a self-consistent harmonic approximation (SCHA) theory. We compare the predictions of SCHA with numerical simulations on L×L square lattices using Monte Carlo (MC) simulations, which include effects due to all thermodynamically allowed excitations. Our SCHA results are in good agreement with our MC simulations results and have shown that the strong K limit gives two different Ising-like behavior. In the exchange anisotropic case, the dependence of Tc on anisotropic parameter K becomes linear and in the single-ion anisotropic case, Tc becomes independent of K. Also, using MC simulations and finite size scaling, we show that the critical exponents in the two anisotropic case are compatible with the 2D Ising values α=0.125 and γ=1.75. 相似文献
7.
To complement existing knowledge of the density matrix γF(x,y) of independent fermions for N particles in one dimension under harmonic confinement, the corresponding matrix γIB(x,y) for impenetrable bosons is given for N=2 and 3 (with the N=4 form available also). For fermions the momentum density is then obtained and illustrated numerically for N=10. The boson momentum density is studied analytically at high momentum p , the coefficients of the p−4 and p−6 terms being tabulated for N=2–5 inclusive. Their dependence on powers of N is exhibited numerically. Finally, the functional relationship between γIB(x,y) and γF(x,y) is formally set out and illustrated. 相似文献
8.
We propose a network model with a fixed number of nodes and links and with a dynamic which favors links between nodes differing in connectivity. We observe a phase transition and parameter regimes with degree distributions following power laws, P(k)∼k-γ, with γ ranging from 0.2 to 0.5, small-world properties, with a network diameter following D(N)∼logN and relative high clustering, following C(N)∼1/N and C(k)∼k-α, with α close to 3. We compare our results with data from real-world protein interaction networks. 相似文献
9.
The deviation δQW of the weak charge from its standard model prediction due to the mixing of the W boson with the charged bilepton Y as well as of the Z boson with the neutral Z′ and the real part of the non-Hermitian neutral bilepton X in the economical 3–3–1 model is established. Additional contributions to the usual δQW expression in the extra U(1) models and the left–right models are obtained. Our calculations are quite different from previous analyzes in this kind of the 3–3–1 models and give the limit on mass of the Z′ boson, the Z–Z′ and W–Y mixing angles with the more appropriate values: MZ′>564 GeV, −0.018<sinφ<0 and |sinθ|<0.043. 相似文献
10.
In this paper we continue our study of the dual SL(2,C) symmetry of the BFKL equation, analogous to the dual conformal symmetry of N=4 super-Yang–Mills. We find that the ordinary and dual SL(2,C) symmetries do not generate a Yangian, in contrast to the ordinary and dual conformal symmetries in the four-dimensional gauge theory. The algebraic structure is still reminiscent of that of N=4 SYM, however, and one can extract a generator from the dual SL(2,C) close to the bi-local form associated with Yangian algebras. We also discuss the issue of whether the dual SL(2,C) symmetry, which in its original form is broken by IR effects, is broken in a controlled way, similar to the way the dual conformal symmetry of N=4 satisfies an anomalous Ward identity. At least for the lowest orders it seems possible to recover the dual SL(2,C) by deforming its representation, keeping open the possibility that it is an exact symmetry of BFKL. Independently of a possible relation to N=4 scattering amplitudes, this opens an avenue for explaining the integrability of BFKL in terms of two finite-dimensional subalgebras. 相似文献
11.
We study a matrix model obtained by dimensionally reducing Chern–Simons theory on S3. We find that the matrix integration is decomposed into sectors classified by the representation of SU(2). We show that the N -block sectors reproduce SU(N) Yang–Mills theory on S2 as the matrix size goes to infinity. 相似文献
12.
Heavy quark effective theory predicts that produced charm quarks have the same probability to fragment into any of the four D mesons with orbital angular momentum L=0: the singlet D state and the triplet D∗ states. This would imply PV(D∗,D)=3/4, where PV is the ratio between directly produced L=0 vector states (D∗) and all L=0 (D and D∗) states. Experimental data collected in several different collision systems (e+e−, hadro-production, photo-production, etc.) and over a broad range of collision energies, show that PV(D∗,D)=0.594±0.010. From this observation, it follows that “naive spin counting” does not apply to charm production, implying a revision of charm production calculations where this assumption is made. 相似文献
13.
In this Letter, we consider lattice versions of the decomposition of the Yang–Mills field a la Cho–Faddeev–Niemi, which was extended by Kondo, Shinohara and Murakami in the continuum formulation. For the SU(N) gauge group, we propose a set of defining equations for specifying the decomposition of the gauge link variable and solve them exactly without using the ansatz adopted in the previous studies for SU(2) and SU(3). As a result, we obtain the general form of the decomposition for SU(N) gauge link variables and confirm the previous results obtained for SU(2) and SU(3). 相似文献
14.
15.
16.
17.
18.
A curve α immersed in the three-dimensional sphere S3 is said to be a Bertrand curve if there exists another curve β and a one-to-one correspondence between α and β such that both curves have common principal normal geodesics at corresponding points. The curves α and β are said to be a pair of Bertrand curves in S3. One of our main results is a sort of theorem for Bertrand curves in S3 which formally agrees with the classical one: “Bertrand curves in S3 correspond to curves for which there exist two constants λ≠0 and μ such that λκ+μτ=1”, where κ and τ stand for the curvature and torsion of the curve; in particular, general helices in the 3-sphere introduced by M. Barros are Bertrand curves. As an easy application of the main theorem, we characterize helices in S3 as the only twisted curves in S3 having infinite Bertrand conjugate curves. We also find several relationships between Bertrand curves in S3 and (1,3)-Bertrand curves in R4. 相似文献
19.
It is shown that four-dimensional N=1 supersymmetric QCD with massive flavors in the fundamental representation of the gauge group can be realized in the hidden sector of E8×E8 heterotic string vacua. The number of flavors can be chosen to lie in the range of validity of the free-magnetic dual, using which one can demonstrate the existence of long-lived meta-stable non-supersymmetric vacua. This is shown explicitly for the gauge group Spin(10), but the methods are applicable to Spin(Nc), SU(Nc) and Sp(Nc) for a wide range of color index Nc. Hidden sectors of this type can potentially be used as a mechanism to break supersymmetry within the context of heterotic M-theory. 相似文献