[{"date_updated":"2018-07-24T12:59:44Z","document_type":"journalArticle","language":[{"iso":"eng"}],"citation":{"frontiers":"Engels, J., Fromme, L., and Seniuch, M. (2003). Correlation lengths and scaling functions in the three-dimensional O(4) model. *NUCLEAR PHYSICS B* 675, 533-554.","angewandte-chemie":"J. Engels, L. Fromme, and M. Seniuch, “Correlation lengths and scaling functions in the three-dimensional O(4) model”, *NUCLEAR PHYSICS B*, **2003**, *675*, 533-554.","aps":" J. Engels, L. Fromme, and M. Seniuch, Correlation lengths and scaling functions in the three-dimensional O(4) model, NUCLEAR PHYSICS B **675**, 533 (2003).","ieee":" J. Engels, L. Fromme, and M. Seniuch, “Correlation lengths and scaling functions in the three-dimensional O(4) model”, *NUCLEAR PHYSICS B*, vol. 675, 2003, pp. 533-554.","bio1":"Engels J, Fromme L, Seniuch M (2003)

Correlation lengths and scaling functions in the three-dimensional O(4) model.

NUCLEAR PHYSICS B 675(3): 533-554.","lncs":" Engels, J., Fromme, L., Seniuch, M.: Correlation lengths and scaling functions in the three-dimensional O(4) model. NUCLEAR PHYSICS B. 675, 533-554 (2003).","chicago":"Engels, Jürgen, Fromme, L, and Seniuch, M. 2003. “Correlation lengths and scaling functions in the three-dimensional O(4) model”. *NUCLEAR PHYSICS B* 675 (3): 533-554.

","harvard1":"Engels, J., Fromme, L., & Seniuch, M., 2003. Correlation lengths and scaling functions in the three-dimensional O(4) model. *NUCLEAR PHYSICS B*, 675(3), p 533-554.","mla":"Engels, Jürgen, Fromme, L, and Seniuch, M. “Correlation lengths and scaling functions in the three-dimensional O(4) model”. *NUCLEAR PHYSICS B* 675.3 (2003): 533-554.","default":"Engels J, Fromme L, Seniuch M (2003)

*NUCLEAR PHYSICS B* 675(3): 533-554.","dgps":"Engels, J., Fromme, L. & Seniuch, M. (2003). Correlation lengths and scaling functions in the three-dimensional O(4) model. *NUCLEAR PHYSICS B*, *675*(3), 533-554. ELSEVIER SCIENCE BV. doi:10.1016/j.nuclphysb.2003.09.060.

","apa":"Engels, J., Fromme, L., & Seniuch, M. (2003). Correlation lengths and scaling functions in the three-dimensional O(4) model. *NUCLEAR PHYSICS B*, *675*(3), 533-554. doi:10.1016/j.nuclphysb.2003.09.060","apa_indent":"Engels, J., Fromme, L., & Seniuch, M. (2003). Correlation lengths and scaling functions in the three-dimensional O(4) model. *NUCLEAR PHYSICS B*, *675*(3), 533-554. doi:10.1016/j.nuclphysb.2003.09.060

","wels":"Engels, J.; Fromme, L.; Seniuch, M. (2003): Correlation lengths and scaling functions in the three-dimensional O(4) model *NUCLEAR PHYSICS B*,675:(3): 533-554.","ama":"Engels J, Fromme L, Seniuch M. Correlation lengths and scaling functions in the three-dimensional O(4) model. *NUCLEAR PHYSICS B*. 2003;675(3):533-554."},"keyword":["correlation length","goldstone modes","scaling function","O(4) model","universal amplitude ratios"],"abstract":[{"lang":"eng","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 > T-C. 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 < T-C. In addition, we determine the critical exponent delta = 4.824(9) and several critical amplitudes from which we derive the universal amplitude ratios R-x = 1.084(18), Q(C) = 0.431(9), Q(2)(T) = 4.91(8), Q(2)(L) = 1.265(24) and U-xi(C) = 1.99(1). The last result supports a relation between the longitudinal and transverse correlation functions, which was conjectured to hold below T-C but seems to be valid also at T-C. (C) 2003 Elsevier B.V. All rights reserved."}],"publication_status":"published","page":"533-554","isi":1,"year":"2003","date_created":"2010-04-28T12:58:35Z","type":"journal_article","article_type":"original","status":"public","external_id":{"isi":["000187130200003"],"inspire":["624698"],"arxiv":["hep-lat/0307032"]},"_id":"1609408","title":"Correlation lengths and scaling functions in the three-dimensional O(4) model","quality_controlled":"1","volume":"675","arxiv":"1","publication_identifier":{"issn":["0550-3213"]},"doi":"10.1016/j.nuclphysb.2003.09.060","publisher":"ELSEVIER SCIENCE BV","intvolume":" 675","first_author":"Engels, Jürgen","inspire":"1","department":[{"_id":"23470456"}],"edit_mode":"expert","publication":"NUCLEAR PHYSICS B","author":[{"last_name":"Engels","first_name":"Jürgen","id":"40338","full_name":"Engels, Jürgen"},{"full_name":"Fromme, L","first_name":"L","last_name":"Fromme"},{"last_name":"Seniuch","first_name":"M","full_name":"Seniuch, M"}],"issue":"3"}]