Advanced search options

Advanced Search Options 🞨

Browse by author name (“Author name starts with…”).

Find ETDs with:

in
/  
in
/  
in
/  
in

Written in Published in Earliest date Latest date

Sorted by

Results per page:

Sorted by: relevance · author · university · dateNew search

You searched for subject:(DLCQ). Showing records 1 – 2 of 2 total matches.

Search Limiters

Last 2 Years | English Only

No search limiters apply to these results.

▼ Search Limiters


Iowa State University

1. Huang, Mengyao. Zero mode correction for the critical coupling in (1+1)-dimensional $\phi^4$ theory.

Degree: 2020, Iowa State University

Evaluating the effect of the zero momentum mode in the discretized light cone quantization (DLCQ) approach for light front field theory is a long standing problem. Using 1+1 dimension φ4 theory, we compare the critical coupling calculated in light front with zero mode excluded and included. The critical coupling without zero mode has been obtained by solving the theory in DLCQ, and the critical coupling with zero mode included was recently obtained by solving the theory in light front using a symmetric polynomial basis which was claimed to circumvent the zero mode problem (Burkardt et al. 2016). The critical coupling from these two methods can be compared, and a conclusion can be drawn on whether the zero mode has a significant effect for the DLCQ critical coupling result. We then further compare the zero mode included and excluded cases after their critical couplings are converted to the corresponding values in the equal time scheme. Finally, we discuss the consistency of these converted values with the critical coupling obtained by equal time quantization approaches in literature.

Subjects/Keywords: Critical Coupling; DLCQ; Light Front Field Theory; Phi-4 Theory; Zero Mode

Record DetailsSimilar RecordsGoogle PlusoneFacebookTwitterCiteULikeMendeleyreddit

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Huang, M. (2020). Zero mode correction for the critical coupling in (1+1)-dimensional $\phi^4$ theory. (Thesis). Iowa State University. Retrieved from https://lib.dr.iastate.edu/etd/18146

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Huang, Mengyao. “Zero mode correction for the critical coupling in (1+1)-dimensional $\phi^4$ theory.” 2020. Thesis, Iowa State University. Accessed November 28, 2020. https://lib.dr.iastate.edu/etd/18146.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Huang, Mengyao. “Zero mode correction for the critical coupling in (1+1)-dimensional $\phi^4$ theory.” 2020. Web. 28 Nov 2020.

Vancouver:

Huang M. Zero mode correction for the critical coupling in (1+1)-dimensional $\phi^4$ theory. [Internet] [Thesis]. Iowa State University; 2020. [cited 2020 Nov 28]. Available from: https://lib.dr.iastate.edu/etd/18146.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Huang M. Zero mode correction for the critical coupling in (1+1)-dimensional $\phi^4$ theory. [Thesis]. Iowa State University; 2020. Available from: https://lib.dr.iastate.edu/etd/18146

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

2. Ghomeshi, Ramin Ghorbani. Pair Production and the Light-Front Vacuum.

Degree: Physics, 2013, Umeå University

Dominated by Heisenberg's uncertainty principle, vacuum is not quantum mechanically an empty void, i.e. virtual pairs of particles appear and disappear persistently. This nonlinearity subsequently provokes a number of phenomena which can only be practically observed by going to a high-intensity regime. Pair production beyond the so-called Sauter-Schwinger limit, which is roughly the field intensity threshold for pairs to show up copiously, is such a nonlinear vacuum phenomenon. From the viewpoint of Dirac's front form of Hamiltonian dynamics, however, vacuum turns out to be trivial. This triviality would suggest that Schwinger pair production is not possible. Of course, this is only up to zero modes. While the instant form of relativistic dynamics has already been at least theoretically well-played out, the way is still open for investigating the front form. The aim of this thesis is to explore the properties of such a contradictory aspect of quantum vacuum in two different forms of relativistic dynamics and hence to investigate the possibility of finding a way to resolve this ambiguity. This exercise is largely based on the application of field quantization to light-front dynamics. In this regard, some concepts within strong field theory and light-front quantization which are fundamental to our survey have been introduced, the order of magnitude of a few important quantum electrodynamical quantities have been fixed and the basic information on a small number of nonlinear vacuum phenomena has been identified. Light-front quantization of simple bosonic and fermionic systems, in particular, the light-front quantization of a fermion in a background electromagnetic field in (1+1) dimensions is given. The light-front vacuum appears to be trivial also in this particular case. Amongst all suggested methods to resolve the aforementioned ambiguity, the discrete light-cone quantization (DLCQ) method is applied to the Dirac equation in (1+1) dimensions. Furthermore, the Tomaras-Tsamis-Woodard (TTW) solution, which expresses a method to resolve the zero-mode issue, is also revisited. Finally, the path integral formulation of quantum mechanics is discussed and, as an alternative to TTW solution, it is proposed that the worldline approach in the light-front framework may shed light on different aspects of the TTW solution and give a clearer picture of the light-front vacuum and the pair production phenomenon on the light-front.

Subjects/Keywords: Strong-Field QED; Quantum Vacuum; Schwinger Pair Production Mechanism; Dirac Forms of Relativistic Dynamics; Light-front Quantization; Zero-mode Issue; DLCQ; Worldline Approach

…way (Lenz et al., 1991). The discrete light-cone quantization (DLCQ)… 

Record DetailsSimilar RecordsGoogle PlusoneFacebookTwitterCiteULikeMendeleyreddit

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Ghomeshi, R. G. (2013). Pair Production and the Light-Front Vacuum. (Thesis). Umeå University. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-83444

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Ghomeshi, Ramin Ghorbani. “Pair Production and the Light-Front Vacuum.” 2013. Thesis, Umeå University. Accessed November 28, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-83444.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Ghomeshi, Ramin Ghorbani. “Pair Production and the Light-Front Vacuum.” 2013. Web. 28 Nov 2020.

Vancouver:

Ghomeshi RG. Pair Production and the Light-Front Vacuum. [Internet] [Thesis]. Umeå University; 2013. [cited 2020 Nov 28]. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-83444.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ghomeshi RG. Pair Production and the Light-Front Vacuum. [Thesis]. Umeå University; 2013. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-83444

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.