[2006.02354] Constructing Quantum Soliton States Despite Zero Modes Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search High Energy Physics - Theory arXiv:2006.02354 (hep-th) [Submitted on 3 Jun 2020 ( v1 ), last revised 18 Nov 2020 (this version, v4)] Title: Constructing Quantum Soliton States Despite Zero Modes Authors: Jarah Evslin View a PDF of the paper titled Constructing Quantum Soliton States Despite Zero Modes, by Jarah Evslin View PDF HTML (experimental) Abstract: In classical Lorentz-invariant field theories, localized soliton solutions necessarily break translation symmetry. In the corresponding quantum field theories, the position is quantized and, if the theory is not compactified, they have continuous spectra. It has long been appreciated that ordinary perturbation theory is not applicable to continuum states. Here we argue that, as the Hamiltonian and momentum operators commute, the soliton ground state can nonetheless be found in perturbation theory if one first imposes that the total momentum vanishes. As an illustration, we find the subleading quantum correction to the ground state of the Sine-Gordon soliton. Comments: 25 pages, v4 I(x) calculated analytically Subjects: High Energy Physics - Theory (hep-th) Cite as: arXiv:2006.02354 [hep-th] (or arXiv:2006.02354v4 [hep-th] for this version) https://doi.org/10.48550/arXiv.2006.02354 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Jour. Part. Phys. and Cosm. 1 (2025) 2 Submission history From: Jarah Evslin [ view email ] [v1] Wed, 3 Jun 2020 16:01:54 UTC (170 KB) [v2] Thu, 4 Jun 2020 09:32:04 UTC (170 KB) [v3] Fri, 12 Jun 2020 12:43:45 UTC (171 KB) [v4] Wed, 18 Nov 2020 18:00:28 UTC (29 KB) Full-text links: Access Paper: View a PDF of the paper titled Constructing Quantum Soliton States Despite Zero Modes, by Jarah Evslin View PDF HTML (experimental) TeX Source view license Current browse context: hep-th < prev | next > new | recent | 2020-06 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from