2014/12/17 by Jing Wang, Guo-Zhu Liu · 1 citation
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Critical exponent #Functional renormalization group #Goldstone boson #Higgs boson #Mathematics #Order (exchange) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum field theory #Quantum gravity #Quantum many-body systems #Quantum mechanics #Renormalization #Renormalization group #Scalar (mathematics) #Scalar field theory #Statistical physics #Theoretical physics #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevd.90.125015
published as Phys. Rev. D 90, 125015 (2014) · 13 pages, 16 figures
openalex publication_date 2014/12/17 · arxiv created 2014/12/19 · arxiv updated 2014/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We perform a detailed renormalization group analysis to study a (2+1)-dimensional quantum field theory that is composed of two interacting scalar bosons, which represent the order parameters for two continuous phase transitions. This sort of field theory can describe the competition and coexistence between distinct long-range orders, and therefore plays a vital role in statistical physics and condensed matter physics. We first derive and solve the renormalization group equations of all the relevant physical parameters, and then show that the system does not have any stable fixed point in the lowest energy limit. Interestingly, this conclusion holds in both the ordered and disordered phases, and also at the quantum critical point. Therefore, the originally continuous transitions are unavoidably turned to first order due to ordering competition. Moreover, we examine the impacts of massless Goldstone boson generated by continuous symmetry breaking on ordering competition, and briefly discuss the physical implications of our results.