# Topology change, emergent symmetry and

## Transcript Of Topology change, emergent symmetry and

Topology change, emergent symmetry and

compact star matter

Yong-Liang Ma In collaboration with Mannque Rho et al.

Colloquium @ ASU, Dec. 09, 2020.

Outline

I. Introduction II. Topology change and quark-hadron continuity III.Hidden symmetries of QCD IV.The pseudoconformal model of dense nuclear matter V.Predictions of the pseudoconformal model VI.Summary and discussions

2020/12/09

[email protected], UAS.

2

I、Introduction

2020/12/09

L. W. Chen, 1506.09057

[email protected], UAS.

EoS of nuclear matter at high density is a totally mess and uncharted domain.

Lattice QCD? Low-temperature

terrestrial exp.?

3

I、Introduction

Finite nuclei as well as infinite nuclear matter can be fairly accurately accessed by nuclear EFTs, pionless or pionful, (sEFT)" anchored on relevant symmetries and invariances along the line of Weinberg's Folk Theorem.

sEFTs, as befits their premise, are expected to break down at some high density (and low temperature) relevant to, say, the interior of massive stars.

e.g, In sEFT, the power counting in density is 𝑂(𝑘𝐹𝑞). For the normal nuclear matter, the expansion requires going to ~𝑞 = 5.

J. W. Holt, M. Rho and W.Weise, 1411.6681

2020/12/09

[email protected], UAS.

4

I、Introduction

Our strategy: Construct “Generalized" nuclear EFT (GnEFT) while capturing

fully what sEFT successfully does up to 𝒏𝟎, can be extrapolated up to a density where sEFT is presumed to break down.

2020/12/09

[email protected], UAS.

5

I、Introduction

Tidal deformability:

Λ1.4 < 800 Λ = 300−+243200 → Λ = 190−+139200 𝑅 = 11.9−+11..44 𝑘𝑚

C. Y. Tsang, et al., 1807.06571

Pressure:

2020/12/09

Massive neutron stars:

1.97 ± 0.04 𝑀☉

(2.01 ± 0.04)𝑀☉

(

2

.17−+

0. 0.

11 10

)𝑀☉

[email protected], UAS.

≤ 10𝑛0

Nature, 467(2010),1081. Science, 340(2013), 448. arXiv: 1904.06759.

6

I、Introduction

Basic new physics considered in our approach

Hidden topology in QCD

The microscopic degrees of QCD – quark and gluon – enters the system rephrased using Cheshire Cat Principle

Hidden symmetries of QCD

Hidden scale symmetry Hidden local flavor symmetry Hidden parity doublet structure of nucleon

2020/12/09

[email protected], UAS.

7

I、Introduction

GnEFT = sEFT + ρ and ω + scalar meson 𝒇𝟎(𝟓𝟎𝟎)

Hidden local symmetry Dilaton/NGB of hidden scale symmetry

Intrinsic in QCD but not visible in the mater-free vacuum.

Get un-hidden by strong nonperturbative nuclear correlations, as nuclear matter is highly compressed.

The former may be verifying the Suzuiki theorem and the latter may be indicating an infrared (IR) fixed point with both the chiral and scale symmetries realized in the NG mode.

2020/12/09

[email protected], UAS.

YLM & M. Rho, PPNP 20’;

W. G. Paeng, et al, PRD 17’.

8

I、Introduction

Topology enters through IDD

𝑚𝑎𝑡𝑐ℎ 𝑎𝑡 Λ𝑀<Λχ

𝐽 𝑥1 𝐽 𝑥2 ⋯ 𝐽(0) 𝐸𝐹𝑇

𝐽 𝑥1 𝐽 𝑥2 ⋯ 𝐽(0) 𝑄𝐶𝐷

Harada and Yamawaki, PRD 01’

𝐿𝐸𝐶𝑠

𝐼𝑛𝑡𝑟𝑖𝑛𝑐 𝑄𝐶𝐷 𝑞𝑢𝑎𝑛𝑡𝑖𝑡𝑖𝑒𝑠𝑠 𝑞𝑞 , 𝐺2 , ⋯

LECs*

Medium modified Vacuum

The density dependence involved is intrinsic of QCD, referred to the IDD.

Full density dependence = IDD + IDDinduced

Lee, Paeng and Rho (2015); Paeng, Kuo, Lee, Ma and Rho (2017)

2020/12/09

[email protected], UAS.

9

I、Introduction

2020/12/09

Only in terms of hadrons; Intrinsic density dependence

Cashire Cat

Enters through the VeV of dilaton: scale symmetry;

Information from topology change is considered;

Nucleon mass stays as a constant after topology change: parity doublet.

The topology change density 𝑛1/2, parameter.

Quark-Hadron continuity

Qualitative information from topology change

Density dependence of LECs

[email protected], UAS.

10

compact star matter

Yong-Liang Ma In collaboration with Mannque Rho et al.

Colloquium @ ASU, Dec. 09, 2020.

Outline

I. Introduction II. Topology change and quark-hadron continuity III.Hidden symmetries of QCD IV.The pseudoconformal model of dense nuclear matter V.Predictions of the pseudoconformal model VI.Summary and discussions

2020/12/09

[email protected], UAS.

2

I、Introduction

2020/12/09

L. W. Chen, 1506.09057

[email protected], UAS.

EoS of nuclear matter at high density is a totally mess and uncharted domain.

Lattice QCD? Low-temperature

terrestrial exp.?

3

I、Introduction

Finite nuclei as well as infinite nuclear matter can be fairly accurately accessed by nuclear EFTs, pionless or pionful, (sEFT)" anchored on relevant symmetries and invariances along the line of Weinberg's Folk Theorem.

sEFTs, as befits their premise, are expected to break down at some high density (and low temperature) relevant to, say, the interior of massive stars.

e.g, In sEFT, the power counting in density is 𝑂(𝑘𝐹𝑞). For the normal nuclear matter, the expansion requires going to ~𝑞 = 5.

J. W. Holt, M. Rho and W.Weise, 1411.6681

2020/12/09

[email protected], UAS.

4

I、Introduction

Our strategy: Construct “Generalized" nuclear EFT (GnEFT) while capturing

fully what sEFT successfully does up to 𝒏𝟎, can be extrapolated up to a density where sEFT is presumed to break down.

2020/12/09

[email protected], UAS.

5

I、Introduction

Tidal deformability:

Λ1.4 < 800 Λ = 300−+243200 → Λ = 190−+139200 𝑅 = 11.9−+11..44 𝑘𝑚

C. Y. Tsang, et al., 1807.06571

Pressure:

2020/12/09

Massive neutron stars:

1.97 ± 0.04 𝑀☉

(2.01 ± 0.04)𝑀☉

(

2

.17−+

0. 0.

11 10

)𝑀☉

[email protected], UAS.

≤ 10𝑛0

Nature, 467(2010),1081. Science, 340(2013), 448. arXiv: 1904.06759.

6

I、Introduction

Basic new physics considered in our approach

Hidden topology in QCD

The microscopic degrees of QCD – quark and gluon – enters the system rephrased using Cheshire Cat Principle

Hidden symmetries of QCD

Hidden scale symmetry Hidden local flavor symmetry Hidden parity doublet structure of nucleon

2020/12/09

[email protected], UAS.

7

I、Introduction

GnEFT = sEFT + ρ and ω + scalar meson 𝒇𝟎(𝟓𝟎𝟎)

Hidden local symmetry Dilaton/NGB of hidden scale symmetry

Intrinsic in QCD but not visible in the mater-free vacuum.

Get un-hidden by strong nonperturbative nuclear correlations, as nuclear matter is highly compressed.

The former may be verifying the Suzuiki theorem and the latter may be indicating an infrared (IR) fixed point with both the chiral and scale symmetries realized in the NG mode.

2020/12/09

[email protected], UAS.

YLM & M. Rho, PPNP 20’;

W. G. Paeng, et al, PRD 17’.

8

I、Introduction

Topology enters through IDD

𝑚𝑎𝑡𝑐ℎ 𝑎𝑡 Λ𝑀<Λχ

𝐽 𝑥1 𝐽 𝑥2 ⋯ 𝐽(0) 𝐸𝐹𝑇

𝐽 𝑥1 𝐽 𝑥2 ⋯ 𝐽(0) 𝑄𝐶𝐷

Harada and Yamawaki, PRD 01’

𝐿𝐸𝐶𝑠

𝐼𝑛𝑡𝑟𝑖𝑛𝑐 𝑄𝐶𝐷 𝑞𝑢𝑎𝑛𝑡𝑖𝑡𝑖𝑒𝑠𝑠 𝑞𝑞 , 𝐺2 , ⋯

LECs*

Medium modified Vacuum

The density dependence involved is intrinsic of QCD, referred to the IDD.

Full density dependence = IDD + IDDinduced

Lee, Paeng and Rho (2015); Paeng, Kuo, Lee, Ma and Rho (2017)

2020/12/09

[email protected], UAS.

9

I、Introduction

2020/12/09

Only in terms of hadrons; Intrinsic density dependence

Cashire Cat

Enters through the VeV of dilaton: scale symmetry;

Information from topology change is considered;

Nucleon mass stays as a constant after topology change: parity doublet.

The topology change density 𝑛1/2, parameter.

Quark-Hadron continuity

Qualitative information from topology change

Density dependence of LECs

[email protected], UAS.

10