共查询到20条相似文献,搜索用时 31 毫秒
1.
T. Eguchi 《Physics letters. [Part B]》1975,59(1):73-78
We extend Dirac's theory of magnetic monopoles to the case of non-Abelian color gauge groups. Exact classical solution is obtained by making use of the gauge-independent method of Yang-Mills field. The case of broken gauge symmetry is also briefly discussed. 相似文献
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CHEN Lihua 《理论物理通讯》1998,30(1):45-48
In this paper, unified colored noise approximation is extended to treat the systems driven by Poisson colored noise χ = ν(χ) + gεcp(t). We arrive the evolution equation of the probability distribution pi(x, r) and the stationary probability distribution pt (χ, Υ). These equations are valid only if γ(χ,Υ) ≡ γ-1/2[1 - ΥG(χ)/g(χ)] (G(χ) ≡ v'(χ)g(χ) - v(g)g'(χ)) is large enough (positive) and t >> Υ/γ(χ, Υ), but Υ is not restricted. As an application, we derive the nonlinear relaxation time (NLRT) for the processes driven by Poisson colored noise and evduate the NLRT for the approximative Ginzburg-Landon model under small Υ. 相似文献
5.
Razvan Gurau 《Communications in Mathematical Physics》2011,304(1):69-93
Random matrix models generalize to Group Field Theories (GFT) whose Feynman graphs are dual to higher dimensional topological
spaces. The perturbative development of the usual GFT’s is rather involved combinatorially and plagued by topological singularities
(which we discuss in great detail in this paper), thus very difficult to control and unsatisfactory. 相似文献
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Monopoles which carry both electro- and chromomagnetic charge are described by introducing new degrees of freedom into the hamiltonian form of SU(3)color × U(1)em lattice gauge theory. The monopoles we discuss exist as classical solutions in the SU(5) grand unified theory. The lattice theory allows us to describe the properties of these monopoles at low energies, where the color forces are strong. Our results are in agreement with a previous analysis by Coleman. 相似文献
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HAN Li-Bo CAO Li WU Da-Jin WANG Jun 《理论物理通讯》2004,42(7)
By using the linear approximation method, the intensity correlation function and the intensity correlation time are calculated in a gain-noise model of a single-mode laser driven by colored cross-correlated pump noise and quantum noise, each of which is colored. We detect that, when the cross-correlation between both noises is negative, the behavior of the intensity correlation function C(t) versus time t, in addition to decreasing monotonously, also exhibits several other cases, such as one maximum, one minimum, and two extrema (one maximum and one minimum), i.e., some parameters of the noises can greatly change the dependence of the intensity correlation function upon time. T3. 相似文献
10.
Intensity Correlation Function of a Single-Mode Laser Driven
by Two Colored
Noises with Colored Cross-Correlation 总被引:1,自引:0,他引:1
HANLi-Bo CAOLi WUDa-Jin WANGJun 《理论物理通讯》2004,42(1):59-63
By using the linear approximation method, the intensity correlation function and the intensity correlation time are calculated in a gain-noise model of a single-mode laser driven by colored cross-correlated pump noise and quantum noise, each of which is colored. We detect that, when the cross-correlation between both noises is negative, the behavior of the intensity correlation function C(t) versus time t, in addition to decreasing monotonously, also exhibits several other cases, such as one maximum, one minimum, and two extrema (one maximum and one minimum), i.e., some parameters of the noises can greatly change the dependence of the intensity correlation function upon time. Moreover, we find that there is a minimum Tmin in the curve of the intensity correlation time versus the pump noise intensity, and the depth and position of Train strongly depend on the quantum noise self-correlation time T2 and cross-correlation time T3. 相似文献
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We consider bistable systems driven by stationary wideband Gaussian colored noise. We construct uniform asymptotic expansions of the stationary probability density function and of the activation rate, for small intensity and short correlation time of the noise. We find that for different values of the total power output / of the noise, different terms in the asymptotic expansions become dominant. For we recover previously derived results, while for =O() and new results are obtained. 相似文献
12.
No Heading The flux tube solution in the Euclidean spacetime with the color longitudinal electric field in the SU(2) Yang-Mills-Higgs theory with broken gauge symmetry is found. Some arguments are given that this flux tube is a pure quantum object in the SU(3) quantum theory reduced to the SU(2) Yang-Mills-Higgs theory. 相似文献
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Shemsettin Turkoz Shahin Mamedov Abbas K. Ciftci 《Central European Journal of Physics》2010,8(3):378-385
The motion of colored scalar particles in a constant color magnetic field is considered. The Klein-Gordon equation is solved
in this background and the energy spectrum is quantized by boundary conditions. The unitary transformation diagonalizing this
equation and the states with definite energy are found. 相似文献
16.
An inverse problem of deriving the concept of quantized fields from a certain observable conserved current is investigated. It is found that a natural framework in which to attack the problem is provided for by what we shall call Green's ansatz of null decomposition of the current. The null decomposition naturally yields a set ofcolored null flags hoisted at each space-time point, a null flag comprizing a real null vector and an associated real null six-vector, and is invariant under all permutations of colors. From the fact that to any null flag there corresponds a two-component spinor it follows that the color permutation group is extended tocolor groups O(p) orU(p), wherep is the number of null flags considered. It is shown that para-Weyl (para-Fermi) fields of orderp2 can be deduced from the (chiral) set ofp colored null flags, and that the color groupU(p) is singled out that functions as the gauge group of para-Fermi theory. 相似文献
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In this paper we study the growth probability and cluster morphologies which emerge in an off-lattice, two-dimensional, colored diffusion-limited aggregation model for urban dynamics, particularly migration. To reach this goal, three immobile interacting clusters that include the geographical concept of gravity are studied by exact enumeration. In our simulations we find a strong correlation between the seed’s distance, migration rules and number of aggregated particles. The growth probability of a certain angular subset and its rate and route of convergence to a Normal distribution when migration cost is acting are also shown. We search how all the factors mentioned above determine the cluster morphologies. 相似文献
18.
L. H'walisz P. Jung P. Hänggi P. Talkner L. Schimansky-Geier 《Zeitschrift für Physik B Condensed Matter》1989,77(3):471-483
We present a novel approximation scheme, termed unified colored noise approximation (UCNA), for colored Gaussian noise driven nonlinear systems with inertia. This approximation allows one to evaluate static (stationary distributions, moments) as well as dynamical quantities (correlation functions) for small-to-moderate-to-large values of the correlation time. The approximation replaces a three-dimensional Markovian process by a reduced, two-dimensional Markovian dynamics with new drift and diffusion coefficients. For a harmonic potential the stationary moments are reproduced exactly. Most importantly, we present a criterion involving the noise strengthD, the friction strength and the noise color , which describes the region of validity of UCNA in the parameter space given by (D, , ). At small -values we contrast the UCNA with the well-known small approximation. In order to have a comparison onanalytical grounds, we test the static and dynamical predictions of UCNA versus the well-known analytical results obtained from a three-dimensional Ornstein-Uhlenbeck process. 相似文献
19.
X. Luo S. Zhu 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2002,19(1):111-117
A two-dimensional decoupling theory is developed when colored noise is included in a nonlinear dynamical system. By a functional
analysis, the colored noise is transformed to an effective noise that includes the noise correlation time, the mean dynamical
variable, and the original noise strength. When the two-dimensional decoupling theory is applied to single-mode and two-mode
dye laser systems, the mean, variance, and effective eigenvalue of laser intensity are calculated. Excellent agreement between
theoretical analysis, numerical simulations, and experimental measurements are obtained. It is seen that the increase of noise
correlation time can reduce the fluctuations in the laser system. It is also shown that there is relatively large fluctuation
in the phase when the laser undergoes from thermal light to coherent light when the theory is applied to a single mode dye
laser.
Received 20 August 2001 and Received in final form 4 December 2001 相似文献
20.
We investigate the colored Yang-Baxter equation. Based on a trigonometric solution of colored Yang-Baxter equation, we construct a colored quantum algebra. Moreover we discuss its algebraic Bethe ansatz state and highest wight representation. 相似文献