On the validity of the 'New ansatz for metric operator calculation in pseudo-Hermitian field theory'"
英文摘要：
This paper has been withdrawn by the author(s), due a mistake of factor 1/2.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
继续探索
相关论文
Comment on ``New ansatz for metric operator calculation in pseudo-Hermitian field theory''
In a recent Brief Report by Shalaby a new first-order perturbative calculation of the metric operator for an $iϕ^3$ scalar field theory is given. It is claimed that the result is an improvement on a previous calculation by Bender, Brody and Jones because it is local. Unfortunately Shalaby's calculation is not valid because of sign errors.
hep-th
Reply to "Comment on 'New ansatz for metric operator calculation in pseudo-Hermitian field theory '", arXiv:0906.4293
In this report, we reply to a recent comment by Carl M. Bender, Gregorio Benincasa and Hugh F. Jones on our work 'New ansatz for metric operator calculation in pseudo-Hermitian field theory (Phys. Rev. D. 79, 107702 (2009)). In fact, they figured out that there exist sign errors in our work which leaded to the conclusion of the invalidity of the ansatz introduced in our work. Here, we show that, the ansatz is valid in d+1 space-time dimensions, which by itself is a new and very important result. The importance of the work comes from the fact that it is the first time to have a metric operator …
hep-th
New Ansatz for Metric Operator Calculation in Pseudo-Hermitian Field Theory
In this work, a new ansatz is introduced to make the calculations of the metric operator in Pseudo-Hermitian field theory simpler. The idea is to assume that the metric operator is not only a functional of the field operators $ϕ$ and its conjugate field $π$ but also on the field gradient $\nablaϕ$. Rather than the locality of the metric operator obtained, the ansatz enables one to calculate the metric operator just once for all dimensions of the space-time. We calculated the metric operator of the $iϕ^{3}$ scalar field theory up to first order in the coupling. The higher orders can be conjectu…
hep-th
Hermitian Separability of BFKL eigenvalue in Bethe Salpeter approach
We consider the Bethe Salpeter approach to the BFKL evolution in order to naturally incorporate the property of the Hermitian Separability in the BFKL approach. We combine the resulting all order ansatz for the BFKL eigenvalue together with reflection identities for harmonic sums and derive the most complicated term of the next-to-next-to-leading order BFKL eigenvalue in SUSY N=4. We also suggest a numerical technique for reconstructing the unknown functions in our ansatz from the known results for specific values of confomal spin.
hep-th
On the Validity of a Factorizable Metric Ansatz in String Cosmology
To support the validity of a factorizable metric ansatz used in string cosmology, we investigate a toy problem in RSI model. For this purpose, we revise the gradient expansion method to conform to the factorizable metric ansatz. By solving the 5-dimensional equations of motion and substituting the results into the action, we obtain the 4-dimensional effective action. It turns out that the resultant action is equivalent to that obtained by assuming the factorizable metric ansatz. Our analysis gives the support of the validity of the factorizable metric ansatz.
gr-qchep-th
Some spectral equivalences between Schrodinger operators
Spectral equivalences of the quasi-exactly solvable sectors of two classes of Schrodinger operators are established, using Gaudin-type Bethe ansatz equations. In some instances the results can be extended leading to full isospectrality. In this manner we obtain equivalences between PT-symmetric problems and Hermitian problems. We also find equivalences between some classes of Hermitian operators.
hep-thmath-phmath.MP
更多相关论文收起更多论文
路径积分形式下的PT对称量子场论及任意性问题
PT-Symmetric Quantum Field Theory in Path Integral Formalism and Arbitrariness Problem
该研究在路径积分框架下探讨PT对称量子场论，发现非局域变换可使iφ³模型映射为无穷多不等价厄米理论，经0维模型验证后提出其物理意义的任意性问题。
hep-th
Algebraic Bethe Ansatz for deformed Gaudin model
The Gaudin model based on the sl_2-invariant r-matrix with an extra Jordanian term depending on the spectral parameters is considered. The appropriate creation operators defining the Bethe states of the system are constructed through a recurrence relation. The commutation relations between the generating function t(λ) of the integrals of motion and the creation operators are calculated and therefore the algebraic Bethe Ansatz is fully implemented. The energy spectrum as well as the corresponding Bethe equations of the system coincide with the ones of the sl_2-invariant Gaudin model. As opposed…
hep-thmath.QAnlin.SI
广义 BPS Skyrme 模型中的自对偶性与全纯拟设
Self-duality and the Holomorphic Ansatz in Generalized BPS Skyrme Model
本文将 BPS Skyrme 模型推广到简单紧李群对应的厄米对称空间，并利用推广的全纯映射拟设构造了无穷多个精确自对偶 Skyrmion 解，揭示了矩阵场 h 的自由度随群维数增长。
hep-thmath-phmath.MP
Dressing and Wrapping
We prove that the validity of the recently proposed dressed, asymptotic Bethe ansatz for the planar AdS/CFT system is indeed limited at weak coupling by operator wrapping effects. This is done by comparing the Bethe ansatz predictions for the four-loop anomalous dimension of finite-spin twist-two operators to BFKL constraints from high-energy scattering amplitudes in N=4 gauge theory. We find disagreement, which means that the ansatz breaks down for length-two operators at four-loop order. Our method supplies precision tools for multiple all-loop tests of the veracity of any yet-to-be construc…
hep-phhep-th
