Phase Transitions in Softly Broken N=2 SQCD at Non-zero Theta Angle

M. Schwetz (Yale University); N. Evans; S.D.H. Hsu

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Phase Transitions in Softly Broken N=2 SQCD at Non-zero Theta Angle

N. Evans, S.D.H. Hsu, M. Schwetz (Yale University)

High Energy Physics - Theory · Submitted 20 Aug 1996

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The authors' main claim We find a first-order phase transition as $\theta_0$ is varied from zero to $2 \pi$, in agreement with a prediction of `t Hooft.

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arXiv IDhep-th/9608135 (version 1)

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CitationM. Schwetz (Yale University), N. Evans, S.D.H. Hsu. "Phase Transitions in Softly Broken N=2 SQCD at Non-zero Theta Angle." arXiv:hep-th/9608135 (1996). https://pith.science/paper/DHPOSPVO

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.24 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.21 · compares with prior results 0.84 · mentions code or data availability 0.01.

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We investigate the behavior of softly broken $N=2$ SQCD at non-zero bare theta angle $\theta_0$, using superfield spurions to implement the SUSY breaking. We find a first-order phase transition as $\theta_0$ is varied from zero to $2 \pi$, in agreement with a prediction of `t Hooft. The low-energy theta angle $\theta_{eff}$, which determines the effective charges of dyonic excitations, has a complicated dependence on $\theta_0$ and breaking parameters.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We investigate the behavior of softly broken $N=2$ SQCD at non-zero bare theta angle $\theta_0$, using superfield spurions to implement the SUSY breaking.	contribution 0.66	0.85	0.04	asserted 0.87
s1	We find a first-order phase transition as $\theta_0$ is varied from zero to $2 \pi$, in agreement with a prediction of `t Hooft.	result 1.00	0.95	0.77	asserted 1.00
s2	The low-energy theta angle $\theta_{eff}$, which determines the effective charges of dyonic excitations, has a complicated dependence on $\theta_0$ and breaking parameters.	result 0.98	0.74	0.09	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.95 · evidence from proof or derivation 0.81.

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arXiv listing abstract v1

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figures and tables
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The paper

Original abstract

We investigate the behavior of softly broken $N=2$ SQCD at non-zero bare theta angle $\theta_0$, using superfield spurions to implement the SUSY breaking. We find a first-order phase transition as $\theta_0$ is varied from zero to $2 \pi$, in agreement with a prediction of `t Hooft. The low-energy theta angle $\theta_{eff}$, which determines the effective charges of dyonic excitations, has a complicated dependence on $\theta_0$ and breaking parameters.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Reading between the lines of four-dimensional gauge theories
hep-th 2013-05 accept novelty 8.0 of 10

For a fixed gauge algebra, the spectrum of magnetic and dyonic line operators labels distinct four-dimensional theories, some of which carry new discrete theta angles unreachable by shifting the ordinary theta angle.
Phase Transitions at Unusual Values of $\theta$
hep-th 2025-06 conditional novelty 6.0 of 10

Using Seiberg-Witten theory plus anomaly mediation, the authors find first-order phase transitions in the theta-dependent vacuum energy at theta = pi (N_F=0), 0 and pi (N_F=1), pi/2 and 3pi/2 (N_F=2), and pi/4, 3pi/4,...
Candidate Phases for SU(2) Adjoint QCD$_4$ with Two Flavors from $\mathcal{N}=2$ Supersymmetric Yang-Mills Theory
hep-th 2018-06 accept novelty 6.0 of 10

Deforming N=2 SU(2) Yang-Mills by a symmetry-preserving scalar mass generates anomaly-consistent candidate phases for two-flavor adjoint QCD, including a confining CP1 phase with a topological-insulator confining string.

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11 arXiv papers cite this in 20 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 14 sentences without a confident label

Builds on it 1 paper

The study reported here generalizes the results of [ref] to $N_F=1,2,3$.

Phase Transitions at Unusual Values of $\theta$ · Introduction · 1.00

Cites it as support 1 paper

Indeed, by further perturbing the system with a much smaller supersymmetry breaking parameter such as a nonvanishing gluino mass, it can be shown explicitly [ref] that the system makes a phase transition from the first supersymmetric vacuum (where the $(1,0)$ field is condensed) to the second (where $(1,-1)$ field is condensed) at $θ=π$ [Here oblique confinement à la 't Hooft mentioned in Section [ref] does not take place: the system is weakly coupled at all values of $θ$.

On Confinement Index · Abelian dual superconductor and nontrivial vacuum rearrangement · 0.98

Cites it as background 4 papers

This question was investigated in a series of papers in the late 90's [ref] , by perturbing SUSY gauge theories with soft supersymmetry breaking terms (see also the more recent [ref] ).

The Phases of Non-supersymmetric Gauge Theories: the $SO(N_c)$ Case Study · Introduction · 0.92
The problem of tracking soft supersymmetry-breaking masses along RG flows and across dualities has been thoroughly investigated, see for instance [ref] , and has recently been reinvigorated in the context of three-dimensional dualities [ref] .

Candidate Phases for SU(2) Adjoint QCD$_4$ with Two Flavors from $\mathcal{N}=2$ Supersymmetric Yang-Mills Theory · Soft Supersymmetry Breaking · 0.97
The non-perturbative nature of the IR dynamics in asymptotically free theories makes the study of the $θ$-dependence particularly hard, and one has to either specialize to supersymmetric [ref] or near-supersymmetric gauge theories [ref] or make use of consistency conditions like anomaly matching [ref] , or of large-$N$ arguments.

Phase Transitions at Unusual Values of $\theta$ · Introduction · 0.93

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