{"quality_controlled":"1","volume":675,"doi":"10.1016/j.nuclphysb.2003.09.060","author":[{"full_name":"Engels, J.","last_name":"Engels","first_name":"J."},{"orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0006-6675-1917/work/161427700","last_name":"Fromme","full_name":"Fromme, Lars","id":"217504","first_name":"Lars","orcid":"0009-0006-6675-1917"},{"first_name":"M.","last_name":"Seniuch","full_name":"Seniuch, M."}],"extern":"1","issue":"3","publisher":"Elsevier BV","intvolume":"       675","language":[{"iso":"eng"}],"department":[{"_id":"103"}],"date_updated":"2024-06-12T08:11:22Z","page":"533-554","publication_identifier":{"issn":["0550-3213"]},"abstract":[{"text":"We investigate numerically the transverse and longitudinal correlation lengths of the three-dimensional O(4) model as a function of the external field H. From our data we calculate the scaling function of the transverse correlation length, and that of the longitudinal correlation length for T>Tc. We show that the scaling functions do not only describe the critical behaviours of the correlation lengths but encompass as well the predicted Goldstone effects, in particular the H−1/2-dependence of the transverse correlation length for T<Tc. In addition, we determine the critical exponent δ=4.824(9) and several critical amplitudes from which we derive the universal amplitude ratios Rχ=1.084(18), Qc=0.431(9), Q2T=4.91(8), Q2L=1.265(24) and Uξc=1.99(1). The last result supports a relation between the longitudinal and transverse correlation functions, which was conjectured to hold below Tc but seems to be valid also at Tc.","lang":"eng"}],"type":"journal_article","year":"2003","publication_status":"published","status":"public","_id":"4654","user_id":"220548","citation":{"bibtex":"@article{Engels_Fromme_Seniuch_2003, title={Correlation lengths and scaling functions in the three-dimensional O(4) model}, volume={675}, DOI={<a href=\"https://doi.org/10.1016/j.nuclphysb.2003.09.060\">10.1016/j.nuclphysb.2003.09.060</a>}, number={3}, journal={Nuclear Physics B}, publisher={Elsevier BV}, author={Engels, J. and Fromme, Lars and Seniuch, M.}, year={2003}, pages={533–554} }","mla":"Engels, J., et al. “Correlation Lengths and Scaling Functions in the Three-Dimensional O(4) Model.” <i>Nuclear Physics B</i>, vol. 675, no. 3, Elsevier BV, 2003, pp. 533–54, doi:<a href=\"https://doi.org/10.1016/j.nuclphysb.2003.09.060\">10.1016/j.nuclphysb.2003.09.060</a>.","ama":"Engels J, Fromme L, Seniuch M. Correlation lengths and scaling functions in the three-dimensional O(4) model. <i>Nuclear Physics B</i>. 2003;675(3):533-554. doi:<a href=\"https://doi.org/10.1016/j.nuclphysb.2003.09.060\">10.1016/j.nuclphysb.2003.09.060</a>","chicago":"Engels, J., Lars Fromme, and M. Seniuch. “Correlation Lengths and Scaling Functions in the Three-Dimensional O(4) Model.” <i>Nuclear Physics B</i> 675, no. 3 (2003): 533–54. <a href=\"https://doi.org/10.1016/j.nuclphysb.2003.09.060\">https://doi.org/10.1016/j.nuclphysb.2003.09.060</a>.","apa":"Engels, J., Fromme, L., &#38; Seniuch, M. (2003). Correlation lengths and scaling functions in the three-dimensional O(4) model. <i>Nuclear Physics B</i>, <i>675</i>(3), 533–554. <a href=\"https://doi.org/10.1016/j.nuclphysb.2003.09.060\">https://doi.org/10.1016/j.nuclphysb.2003.09.060</a>","ieee":"J. Engels, L. Fromme, and M. Seniuch, “Correlation lengths and scaling functions in the three-dimensional O(4) model,” <i>Nuclear Physics B</i>, vol. 675, no. 3, pp. 533–554, 2003.","short":"J. Engels, L. Fromme, M. Seniuch, Nuclear Physics B 675 (2003) 533–554.","alphadin":"<span style=\"font-variant:small-caps;\">Engels, J.</span> ; <span style=\"font-variant:small-caps;\">Fromme, Lars</span> ; <span style=\"font-variant:small-caps;\">Seniuch, M.</span>: Correlation lengths and scaling functions in the three-dimensional O(4) model. In: <i>Nuclear Physics B</i> Bd. 675, Elsevier BV (2003), Nr. 3, S. 533–554"},"publication":"Nuclear Physics B","date_created":"2024-06-10T15:51:01Z","title":"Correlation lengths and scaling functions in the three-dimensional O(4) model"}