--- title: "The Thermal Coupling Constant and the Gap Equation in the λϕ4D Model • CBPF Index" description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community." canonical_url: "https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb48d" locale: en meta: "og:description": "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community." "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~VGhlIFRoZXJtYWwgQ291cGxpbmcgQ29uc3RhbnQgYW5kIHRoZSBHYXAgRXF1YXRpb24gaW4gdGhlIDxtYXRoPiDOu8-VNEQ8L21hdGg-IE1vZGVs%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~Ry4gRi4gSi4gQW5hbm9zOyBBLlAuQy4gTWFsYm91aXNzb247IE4uRi4gU3ZhaXRlcg%2Cdetalhe_1998%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI0OGQi%2Cs_HVXxLiKLDD5Uv3Q0.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "The Thermal Coupling Constant and the Gap Equation in the λϕ4D Model • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~VGhlIFRoZXJtYWwgQ291cGxpbmcgQ29uc3RhbnQgYW5kIHRoZSBHYXAgRXF1YXRpb24gaW4gdGhlIDxtYXRoPiDOu8-VNEQ8L21hdGg-IE1vZGVs%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~Ry4gRi4gSi4gQW5hbm9zOyBBLlAuQy4gTWFsYm91aXNzb247IE4uRi4gU3ZhaXRlcg%2Cdetalhe_1998%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI0OGQi%2Cs_HVXxLiKLDD5Uv3Q0.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Physics Note****Published** # **The Thermal Coupling Constant and the Gap Equation in the **λφD4\ \\lambda\\varphi^{4}\_{D}\λφD4​** Model** **G. F. J. Ananos; A.P.C. Malbouisson; N.F. Svaiter** 1998 [**Download PDF **0.2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb48d/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=The%20Thermal%20Coupling%20Constant%20and%20the%20Gap%20Equation%20in%20the%20%3Cmath%3E%20%CE%BB%CF%954D%3C%2Fmath%3E%20Model) ## **Publication details**
Authors
G. F. J. Ananos; A.P.C. Malbouisson; N.F. Svaiter
Type
Physics Note
Status
Published
Publication date
1998
Description
By the concurrent use of two different resummation methods, the composite operator formalism and the Dyson-Schwinger equation, we re-examinate the behavior at finite temperature of the O(N)-symmetric <math>\lambda\varphi^{4}\,\!</math> model in a generic D-dimensional Euclidean space. In the cases D=3 and D=4, an analysis of the thermal behavior of the renormalized squared mass and coupling constant are done for all temperatures. It results that the thermal renormalized squared mass is positive and increases monotonically with the temperature. The behavior of the thermal coupling constant is quite different in odd or even dimensional space. In D=3 , the thermal coupling constant decreases up to a minimum value diferent from zero and then grows up monotonically as the temperature increases. In the case D=4, it is found that the thermal renormalized coupling constant tends in the high temperature limit to a constant asymptotic value. Also for general D-dimensional Euclidean space, we are able to obtain a formula for the critical temperature of the second order phase transition. This formula agrees with previous known values at D=3 and D=4.
Year
1998
Number
CBPF-NF-023/98
Linked to a thesis
No
Linked to a grant
No
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