ACs5Bi4(PO4)2(P2O7)3 (A = K, Rb and Cs) with two kinds of isolated P−O groups designed by dimensional reduction theory

Author(s):  
Shiwei Liu ◽  
JIale Chen ◽  
Hongping Wu ◽  
Hongwei Yu ◽  
Zhanggui Hu ◽  
...  

The dimensional reduction theory is applied in the A2O–P2O5–Bi2O3 system where P2O5 serves as a binary parent while A2O and Bi2O3 are regarded as dimensional reduction agents. Thus, three novel...

2011 ◽  
Author(s):  
John Edward McCormick ◽  
Chad D. Evans ◽  
Joe Le ◽  
TzuFang Chiu

Universe ◽  
2021 ◽  
Vol 7 (6) ◽  
pp. 170
Author(s):  
Michele Caselle

In this review, after a general introduction to the effective string theory (EST) description of confinement in pure gauge theories, we discuss the behaviour of EST as the temperature is increased. We show that, as the deconfinement point is approached from below, several universal features of confining gauge theories, like the ratio Tc/σ0, the linear increase of the squared width of the flux tube with the interquark distance, or the temperature dependence of the interquark potential, can be accurately predicted by the effective string. Moreover, in the vicinity of the deconfinement point the EST behaviour turns out to be in good agreement with what was predicted by conformal invariance or by dimensional reduction, thus further supporting the validity of an EST approach to confinement.


2018 ◽  
Vol 78 (4) ◽  
pp. 4311-4326 ◽  
Author(s):  
Weijing Song ◽  
Lizhe Wang ◽  
Peng Liu ◽  
Kim-Kwang Raymond Choo

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Chiung Hwang ◽  
Sara Pasquetti ◽  
Matteo Sacchi

Abstract We construct a family of 4d$$ \mathcal{N} $$ N = 1 theories that we call $$ {E}_{\rho}^{\sigma } $$ E ρ σ [USp(2N)] which exhibit a novel type of 4d IR duality very reminiscent of the mirror duality enjoyed by the 3d$$ \mathcal{N} $$ N = 4 $$ {T}_{\rho}^{\sigma } $$ T ρ σ [SU(N)] theories. We obtain the $$ {E}_{\rho}^{\sigma } $$ E ρ σ [USp(2N)] theories from the recently introduced E[USp(2N )] theory, by following the RG flow initiated by vevs labelled by partitions ρ and σ for two operators transforming in the antisymmetric representations of the USp(2N) × USp(2N) IR symmetries of the E[USp(2N)] theory. These vevs are the 4d uplift of the ones we turn on for the moment maps of T[SU(N)] to trigger the flow to $$ {T}_{\rho}^{\sigma } $$ T ρ σ [SU(N)]. Indeed the E[USp(2N)] theory, upon dimensional reduction and suitable real mass deformations, reduces to the T[SU(N)] theory. In order to study the RG flows triggered by the vevs we develop a new strategy based on the duality webs of the T[SU(N)] and E[USp(2N)] theories.


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