Dynamics of QCD$_{3}$ with Rank-Two Quarks And Duality

Choi, Changha; Delmastro, Diego; Gomis, Joaquim; Komargodski, Zohar

doi:10.48550/arxiv.1810.07720

Cited by 16 publications

(37 citation statements)

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“…2 Up to now nonperturbative quantum phase was investigated for the case of fermions in the fundamental, single real adjoint and sym/asym representations. The next natural generalization one could ask is to find a phase diagram when the matter content is two adjoint fermions since the existence of quantum phase was indicated in the case of SU (2) [7] together with the various hints from the 3+1 dimensional physics with single Dirac adjoint fermion [10][11][12][13]. But we were unable to replicate the previously successful apporach.…”

Section: Introductionmentioning

confidence: 90%

“…As a consequence, there are two different phase transitions upon varying the mass of fermions from negative to positive infinity. So far, the standard route to obtain a phase diagram consistent with various anomalies comes from finding two mutually non-local dual descriptions with common global symmetry [3][4][5][6][7][8][9]. Particularly, all these dual descriptions are in the semiclassical regime, in the sense that intermediate quantum phase could be accessed by weakly coupled analysis of dual descriptions.…”

Section: Introductionmentioning

confidence: 99%

“…Now the bosonization is carried out at the two distinguished critical points with two different mutually non-local dual descriptions [3]. This shape of the phase diagram has been successfully applied to the case of single adjoint/rank-two matter and some other cases such as single bifundamental fermions [4,5,[7][8][9]58] with various supporting checks [59][60][61][62][63][64][65]. (See [66] for the recent lecture note covering many aspects discussed above.)…”

Section: Introductionmentioning

confidence: 99%

“…We also find that 'Duality Chain' is successfully applicable for the following two types of theories. One is the dynamics of QCD 3 with arbitrary pair of fermions in the adjoint/rank-two representations which is the full generalization of the QCD 3 with single flavor fermion in adjoint/rank-two representation [4,7]. The other is the dynamics of the 2-node quiver gauge theory with two bifundamental fermions which is the generalization of the QCD 3 with the vector fermions [3] by gauging flavor symmetry [58].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Phases of two adjoints QCD3 and a duality chain

Choi

2020

J. High Energ. Phys.

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We analyze the 2+1 dimensional gauge theory with two fermions in the real adjoint representation with non-zero Chern-Simons level. We propose a new fermion-fermion dualities between strongly-coupled theories and determine the quantum phase using the structure of a 'Duality Chain'. We argue that when Chern-Simons level is sufficiently small, the theory in general develops a strongly coupled quantum phase described by an emergent topological field theory. For special cases, our proposal predicts an interesting dynamical scenario with spontaneous breaking of partial 1-form or 0-form global symmetry. It turns out that SL(2, Z) transformation and the generalized level/rank duality are crucial for the unitary group case. We further unveil the dynamics of the 2+1 dimensional gauge theory with any pair of adjoint/rank-two fermions or two bifundamental fermions using similar 'Duality Chain'.

show abstract

Section: Introductionmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Phases of two adjoints QCD3 and a duality chain

Choi

2020

J. High Energ. Phys.

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“…The study of phase transitions in the three dimensional gauge theory has a long history [6][7][8][9][10][11][12][13][14][15][16] with some important recent developments [17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Even though there is no chiral anomaly, there are topological orders in the low energy effective theories.…”

Section: Introductionmentioning

confidence: 99%

From 3d dualities to hadron physics

Kan,

Kitano,

Yankielowicz

et al. 2019

Preprint

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When one of the space-time dimension is compactified on S 1 , the QCD exhibits the chiral phase transition at some critical radius. When we further turn on a background θ term which depends on the S 1 compactified coordinate, a topological ordered phase appears at low energy via the winding of θ. We discuss what kind of theories can describe the physics near the critical point by requiring the matching of topological field theories in the infrared. As one of the possibilities, we propose a scenario where the ρ and ω mesons form a U (N f ) gauge theory near the critical point. In the phase where the chiral symmetry is restored, they become the dual gauge boson of the gluon related by the level-rank duality between the three dimensional gauge theories, SU (N ) N f and U (N f ) −N .

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The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade

Karasik

Komargodski

2019

J. High Energ. Phys.

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We study the phases of the SU (N 1 ) × SU (N 2 ) gauge theory with a bi-fundamental fermion in 3+1 dimensions. We show that the discrete anomalies and Berry phases associated to the one-form symmetry of the theory allow for several topologically distinct phase diagrams. We identify several limits of the theory where the phase diagram can be determined using various controlled approximations. When the two ranks are equal N 1 = N 2 , these limits all lead to the same topology for the phase diagram and provide a consistent global understanding of the phases of the theory. When N 1 = N 2 , different limits lead to distinct topologies of the phase diagram. This necessarily implies nontrivial physics at some intermediate regimes of parameter space. In the large N 1,2 limit, we argue that the topological transitions are accounted for by a (non-supersymmetric) duality cascade as one varies the parameters of the theory.

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Dynamics of QCD$_{3}$ with Rank-Two Quarks And Duality

Cited by 16 publications

References 0 publications

Phases of two adjoints QCD3 and a duality chain

Phases of two adjoints QCD3 and a duality chain

From 3d dualities to hadron physics

The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade

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