Scholar iON
Academic Synthesis
The collection of scholarly papers centers on the theoretical debates and developments in effective string theory, particularly concerning the Polchinski-Strominger model. Drummond's work (2006) defends the universality of the excitation spectrum up to terms of order \(R^{-3}\), countering criticisms from Hari Dass and Matlock who, while acknowledging some of Drummond's points, maintain the existence of higher-order terms in the parity-violating sector. This discourse underscores the complexity and nuances of field theory equivalences, especially when considering quantum corrections. Additionally, the reference to Glinka's work suggests a broader context involving Lorentz symmetry violations and quantum cosmology, although the connection to the main debate is less direct. This body of work highlights ongoing efforts to refine theoretical models in high-energy physics and their implications for understanding quantum field dynamics.
In hep-th/0411017 the Polchinski-Strominger effective string model was examined and it was shown there that the spectrum of excitations is universal up to and including terms of order $R^{-3}$ in the long distance expansion. Subsequently the same result was claimed in hep-th/0606265 where certain criticisms of the earlier work were made. In this note we demonstrate that the criticisms are wrong and the methods and results of the earlier work are perfectly correct. In particular we address the issue of higher order corrections to the action and show that they were correctly given already in hep-th/0411017.
We have carefully examined all the points raised by Drummond in his response hep-th/0608109 to our paper hep-th/0606265 wherein we had made some criticisms of his earlier work hep-th/0411017. We concede that Drummond is correct in claiming the non-existence of R^{-4} and R^{-5} order effective string actions in the parity conserving sector, though only insofar as equivalence of field theories is considered at the classical level; the situation in unclear when quantum equivalence is taken into consideration. We still maintain the existence of such terms in the parity violating sector. Nevertheless we point out that all this has no consequence for our original proof of the nonexistence of order-R^{-3} terms. Apart from this we refute Drummond's claims about our alleged use of field redefinitions as well as his criticism of our dropping R^{-4} terms in our analysis. We reject his contention that our work is merely a partial reconstruction of his original results and that our work contains technical and conceptual errors. We do acknowledge the importance of the absence of terms pointed out by Drummond.
Draft of book strictly based on the author research results presented in the arXiv papers: 0906.3827[gr-qc], 0906.3825[gr-qc], 0905.3916[hep-ph], 0902.4811[hep-ph], 0902.2829[hep-th], 0812.0551[hep-th], 0809.5216[gr-qc], 0808.1035[gr-qc], 0804.3516[gr-qc], 0803.1533[gr-qc], 0801.4157[gr-qc], 0712.2769[hep-th], 0712.1674[gr-qc], 0711.1380[gr-qc], 0707.3341[gr-qc], gr-qc/0612079.
This manuscript (hep-th/9906140v1) is incomplete. Please read instead S. D. Gลazek, T. Masลowski, Renormalized Poincarรฉ algebra for effective particles in quantum field theory, Phys.Rev. D65 (2002) 065011, (hep-th/0110185).
In a recent note (arXiv:0711.4930[hep-th]) Ito and Seiler claim that there is a 'missing link' in the derivation in arXiv:0707.2179[hep-th] by the present author; namely, that no proof of a certain inequality used there is given at weak coupling. Here it is pointed out that in fact no such missing link is present. The argument in 0707.2179 is, among other things, specifically constructed so that the inequality in question is invoked {\it only} at strong coupling, where it is easily proven. Underlying the mangling of the argument in 0707.2179 by Ito and Seiler are their incorrect statements concerning the dependence of the potential-moving decimation procedures used in 0707.2179 on space-time dimensionality and other decimation parameters.
This is a reply to the above comment (hep-th/9509028). We argue that QED displays a class of symmetries which may be used to select out the various velocity dependent superselection sectors.
I reply to Professor Peter van Nieuwenhuizen in connection with hep-th/0408137
We explain why the main conclusion of Bender et al, hep-th/0511229 [J. Phys. A 39 (2006) 1657] regarding the practical superiority of the non-Hermitian description of PT-symmetric quantum systems over their Hermitian description is not valid. Recalling the essential role played by the Hermitian description in the characterization and interpretation of the physical observables, we maintain that as far as the physical aspects of the theory are concerned the Hermitian description is not only unavoidable but also indispensable.
The above hep-th posting purports -- erroneously -- to be a comment on a Note by me in gr-qc.
Superseded and extended in hep-th/0105110 and hep-th/0208112.