't Hooft黑洞量子态理论的一个推论

从't Hooft将黑洞作为高度简并的量子态的理论出发, 考虑黑洞的量子效应, 由于海森堡测不准原理, 导出视界面上的时空坐标是非对易的.利用非对易场论的办法, 研究了大的远离极端情况的Reissner-Nordstrom黑洞,成功的同时推导出黑洞的温度和熵. 而且预言了场的动力学自由度的数目, 该数目支持了最小超对称标准模型.     

't Hooft单极场中泡利方程的精确解

本文利用活动标架的方法, 计算了同位旋I为任意整数或半整数自旋1/2粒子在't Hooft-Polyakov磁单极场中的运动; 对于同位旋1/2总角动量J=0的情况, 给出泡利方程一个精确的散射态解. 并对磁单极的催化作用进行了讨论.     

MOOSE模型中的t Hooft反常相消条件

本文讨论了H.Georgi提出的"MOOSE"复合理论中的一个问题,证明了在R_i/j≈0区域的禁闭相理论分析中t Hooft反常相消条件的必要性.     

A note on Wilson-?t Hooft operators

We find explicitly the geometry of certain moduli spaces of BPS configurations in the presence of ?t Hooft operators. This is required to compute the Operator Product Expansion of Wilson-?t Hooft operators in N=4 super-Yang-Mills theory with gauge group G=PSU(3). We verify our results by reproducing the OPE of ?t Hooft operators predicted by S-duality.     

＇t Hooft黑洞量子态理论的一个推论

从＇t Hooft将黑洞作为高度简并的量子态的理论出发，考虑黑洞的量子效应，由于海森堡测不准原理，导出视界面上的时空坐标是非对易的．利用非对易场论的办法，研究了大的远离极端情况的Reissner-Nordstrom黑洞，成功的同时推导出黑洞的温度和熵．而且预言了场的动力学自由度的数目该数目支持了最小超对称标准模型．     

Regular Magnetic Monopole from Generalized ＇t Hooft Tensor

It is well known that ＇t Hooft-Polykov magnetic monopole regularly realizes the Dirac magnetic monopole in terms of a two-rank tensor, i.e. the so-called ＇t Hooft tensor in three-dimensional space, which has been generalized to all even rank ones. We propose an arbitrary odd rank ＇t Hooft tensor, which universally determines the quantized low-energy boundaries of the even dimensional Georgi-Glashow models under asymptotic conditions. Furthermore, the dual magnetic monopole theory is built up in terms of the J-mapping theory.     

What does a strongly excited 't Hooft-Polyakov magnetic monopole do?

The time evolution of strongly excited SU(2) Bogomol'nyi-Prasad-Sommerfield magnetic monopoles in Minkowski spacetime is investigated by using numerical simulations based on the technique of conformal compactification and on the use of the hyperboloidal initial value problem. It is found that an initially static monopole does not radiate the entire energy of the exciting pulse toward future null infinity. Rather, a long-lasting quasistable "breathing state" develops in the central region and certain expanding shell structures-built up by very high frequency oscillations-are formed in the far away region.     

Path integral bosonization of the ‘t Hooft determinant: quasi-classical corrections

The many-fermion Lagrangian which includes the t Hooft six-quark flavor mixing interaction (N_f = 3) and the U_L(3) x U_R(3) chiral symmetric four-quark Nambu-Jona-Lasinio- (NJL-) type interactions is bosonized by the path integral method. The method of the steepest descents is used to derive the effective quark-mesonic Lagrangian with linearized many-fermion vertices. We obtain, additionally to the known lowest order stationary phase result of Reinhardt and Alkofer, the next to leading order (NLO) contribution arising from quantum fluctuations of auxiliary bosonic fields around their stationary phase trajectories (the Gaussian integral contribution). Using the gap equation we construct the effective potential, from which the structure of the vacuum can be settled. For some set of parameters the effective potential has several extrema, that in the case of SU(2)_I x U(1)_Y flavor symmetry can be understood on topological grounds. With increasing strength of the fluctuations the spontaneously broken phase gets unstable and the trivial vacuum is restored. The effective potential reveals furthermore the existence of logarithmic singularities at certain field expectation values, signalizing caustic regions.Received: 22 January 2004, Revised: 2 March 2004, Published online: 5 May 2004A.A. Osipov: On leave from the Joint Institute for Nuclear Research, Laboratory of Nuclear Problems, 141980 Dubna, Moscow Region, Russia     

霍夫特（Hooft，Gerard t，1946-）荷兰物理学家（Physicist，Netherlands）

霍夫特是韦尔特曼的博士生，韦尔特曼致力于非阿贝尔规范理论的重正化，他开发了一个计算机符号演算程序对量子场论中的复杂公式进行简化。霍夫特取得了突破。他们的方法也适用于量子色动力学，因此他们为粒子的标准模型奠定了坚实的数学基础。用他们的方法算出的顶夸克的质量，与后来的实验值符合得很好。霍夫特和韦尔特曼因对非阿贝尔规范理论的重正化方法的贡献获得1999年诺贝尔物理学奖。     

Charge effect and finite ’t Hooft coupling correction on drag force and jet quenching parameter

The effects of charge and finite ’t Hooft coupling correction on drag force and jet quenching parameter are investigated. To study charge effect and finite ’t Hooft coupling correction, we consider Maxwell charge and Gauss–Bonnet terms, respectively. The background is Reissner–Nordström–AdS black brane solution in Gauss–Bonnet gravity. It is shown that these corrections affect drag force and jet quenching parameter. We find an analytic solution of drag force in this background which depends on Gauss–Bonnet coupling and charge. We set Gauss–Bonnet coupling to be zero and find drag force in the case of Reissner–Nordström–AdS background.     

O(5)×U(1) Electroweak gauge theory and the triggering of the neutrino oscillations by 't Hooft-polyakov monopole

TheO(5)×U(1) electroweak gauge theory with two particle generations of quarks and leptons is considered. With spontaneous symmetry breaking down to theO(3) level, the 't Hooft-PolyakovSO(3) monopole theory along with its triplet of scalar fields is reproduced and developed to the extent necessary to establish the results. It is shown that the existence of the monopole triggers the Cabibbo rotation ofd ands along with the _e and _µ flavors, which in turn results in the neutrino oscillations. The neutrino oscillation angle turns out to be the Cabibbo angle. Using the experimental data of Bakeret al., an upper limit is set on m ²1.3 eV² (m ² _µ ² –m _e ² ). Furthermore, it is exactly the Cabibbo angle in which the isovector has to be rotated so as to spontaneously break the symmetry down to theO(3) level, together with, on theSO(3) sector, to theU(1) level. It turns out that the Weinberg angle is twice the Cabibbo angle, a result already noted elsewhere.     

One-loop formulas for H→Zνlνl for l=e, μ, τ in 't Hooft-Veltman gauge

In this paper,we present analytical results for one-loop contributions to the decay processes H→■(for l=e,μ,τ).The calculations are performed within the Standard Model framework in the ’t Hooft-Veltman gauge.One-loop form factors are then written in terms of scalar one-loop functions in the standard notations of LoopTools.As a result,one-loop decay rates for the decay channels can be evaluated numerically by using the package.Furthermore,we analyze the signals of H→■l via the production processe...     

Quantum ’t Hooft Loops of SYM $${{\mathcal N}=4}$$ as Instantons of YM2 in Dual Groups SU(N) and SU(N)/ZN

A relation between circular 1/2 BPS ’t Hooft operators in 4d N=4{{\mathcal N}=4} SYM and instantonic solutions in 2D Yang-Mills theory (YM₂) has recently been conjectured. Localization indeed predicts that those ’t Hooft operators in a theory with gauge group G are captured by instanton contributions to the partition function of YM₂, belonging to representations of the dual group ^L G. This conjecture has been tested in the case G = U(N) =  ^L G and for fundamental representations. In this paper, we examine this conjecture for the case of the groups G = SU(N) and ^L G = SU(N)/Z _N and loops in different representations. Peculiarities when groups are not self-dual and representations not “minimal” are pointed out.     

One-loop formulas for H → Zνlνl for l = e, μ, τ in 't Hooft-Veltman gauge

In this paper, we present analytical results for one-loop contributions to the decay processes \begin{document}$ H\rightarrow Z \nu_l\bar{\nu}_l $\end{document} (for \begin{document}$ l = e, \mu, \tau $\end{document}). The calculations are performed within the Standard Model framework in the 't Hooft-Veltman gauge. One-loop form factors are then written in terms of scalar one-loop functions in the standard notations of \begin{document}$ {\tt LoopTools}$\end{document}. As a result, one-loop decay rates for the decay channels can be evaluated numerically by using the package. Furthermore, we analyze the signals of \begin{document}$ H\rightarrow Z \nu_l\bar{\nu}_l $\end{document} via the production processes \begin{document}$ e^-e^+ \rightarrow ZH^* \rightarrow Z (H^* \rightarrow Z \nu_l\bar{\nu}_l) $\end{document}, including the initial beam polarizations at future lepton colliders. The Standard Model backgrounds, such as the processes \begin{document}$ e^-e^+ \rightarrow \nu_l\bar{\nu}_l ZZ $\end{document}, are also examined in this study. Numerical results indicate that one-loop corrections make contributions of approximately 10% to the decay rates. These are sizeable contributions and should be taken into account at future colliders. We show that the signals \begin{document}$ H\rightarrow Z\nu_l\bar{\nu}_l $\end{document} are clearly visible at the center-of-mass energy \begin{document}$ \sqrt{s}=250 $\end{document} GeV and are difficult to probe in higher-energy regions owing to the dominant backgrounds.