Physics notes
Archive
27notes
August 2026
- PHYS-2026-08-16-01
The One-Loop Running of a Gauge Coupling
Derive the one-loop flow of g-squared in Yang-Mills theory, add matter and thresholds, then apply the same machinery to the Standard Model SU(2)_L coupling, electroweak multiplets, unification, and weakly coupled fixed points.
- Format
- Daily
- Level
- Research
- Time
- 190 min
- Topics
- Quantum field theory · Particle physics · Mathematical physics
- PHYS-2026-08-15-01
How Three Dimensions Learn to Behave Like One
A derivation-led study of how species-selective confinement and microwave shielding generate low-dimensional scattering, universal few-body clusters, and an approximate Bose-Fermi duality.
- Format
- Daily
- Level
- Research
- Time
- 165 min
- Topics
- Quantum theory · Condensed matter · Statistical mechanics · Mathematical physics
- PHYS-2026-08-14-01
How Degrees of Freedom Survive Dimensional Reduction: Universal Clusters from Shielded Molecules to Species-Selective Traps
Technical reconstruction of two 2026 preprints: microwave shielding generates an effective 1D molecular potential and Bose–Fermi duality, while species-selective confinement converts COM coupling and finite Feshbach range into q1D/q2D scattering parameters and STM cluster spectra.
- Format
- Daily
- Level
- Research
- Time
- 240 min
- Topics
- Condensed matter · Quantum theory · Statistical mechanics · Mathematical physics
- PHYS-2026-08-13-01
A singular self-energy does not determine the resistivity
Separate quasiparticle decay from current relaxation using Green functions, Ward identities, and the memory matrix, then derive how spatially random critical interactions can produce linear resistivity.
- Format
- Daily
- Level
- Research
- Time
- 105 min
- Topics
- Condensed matter · Quantum field theory · Statistical mechanics · Mathematical physics
- PHYS-2026-08-12-01
A Lindblad equation does not determine trajectory entanglement
Separate unconditional Markovian dynamics from the monitored record, compare random phase flips with informative dephasing trajectories, and locate what a Liouvillian can and cannot say about measurement-induced phases.
- Format
- Daily
- Level
- Research
- Time
- 80 min
- Topics
- Quantum information · Quantum theory · Statistical mechanics · Mathematical physics
- PHYS-2026-08-11-01
Gauging trades a finite Abelian symmetry for its Fourier dual
Derive the dual higher-form symmetry produced by finite Abelian gauging, track double gauging and charge conjugation, and locate the limits imposed by anomalies, global form, and non-invertible fusion.
- Format
- Daily
- Level
- Research
- Time
- 95 min
- Topics
- Quantum field theory · Mathematical physics · Condensed matter · Quantum information
- PHYS-2026-08-10-01
Interactions can dress motion without thermalizing rapidities
Derive generalized hydrodynamics from Bethe root-density conservation, separate elastic factorized scattering from Boltzmann relaxation, and follow weak integrability breaking back to ordinary hydrodynamics.
- Format
- Daily
- Level
- Research
- Time
- 100 min
- Topics
- Condensed matter · Statistical mechanics · Quantum theory · Mathematical physics
- PHYS-2026-08-09-01
Entanglement alone does not make a quantum sensor robust
Use the Lindblad span, accessible Fisher information, and spatial-mode geometry to decide whether error correction or a decoherence-free sensor network can reject noise without erasing the signal.
- Format
- Daily
- Level
- Research
- Time
- 85 min
- Topics
- Quantum information · Quantum theory · Mathematical physics
- PHYS-2026-08-08-01
Dipole conservation alone does not imply fracton order or k⁴ relaxation
Separate global moment conservation, a local rank-2 Ward identity, constitutive assumptions behind z=4 hydrodynamics, restricted microscopic motion, and genuine gapped fracton order.
- Format
- Daily
- Level
- Research
- Time
- 90 min
- Topics
- Condensed matter · Statistical mechanics · Quantum field theory · Quantum information
- PHYS-2026-08-07-01
A stronger antiferromagnetic pairing vertex need not raise Tc
Separate the sign-changing d-wave projection from self-energy feedback, critical slowing, lost antinodal spectral weight, momentum relaxation, and phase ordering near a cuprate strange metal.
- Format
- Daily
- Level
- Research
- Time
- 100 min
- Topics
- Condensed matter · Statistical mechanics · Quantum field theory
- PHYS-2026-08-06-01
A complex pseudo-entropy does not establish emergent time
Separate the spectral branch of a reduced transition matrix, its short-time modular response, timelike CFT continuation, and the stronger holographic claim that complex entropy encodes Lorentzian geometry.
- Format
- Daily
- Level
- Research
- Time
- 90 min
- Topics
- Quantum information · Quantum field theory · General relativity · Cosmology · Mathematical physics
- PHYS-2026-08-05-01
Synthetic gauge geometry does not guarantee many-body locality
Why an internal-state ladder can realize the Hofstadter hopping graph exactly while contact interactions remain infinite-range in the synthetic metric, and what this changes in topological phase arguments.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 60 min
- Topics
- Condensed matter · Quantum information · Mathematical physics
- PHYS-2026-08-04-01
Finite temporal bond dimension can cut off critical slowing down
How temporal-MPS compression can impose an operational infrared timescale in impurity dynamics, why it is not a physical temperature, and where Kibble–Zurek scaling gives way to cutoff-limited response.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 60 min
- Topics
- Condensed matter · Statistical mechanics · Quantum information
- PHYS-2026-08-03-01
A trivial Floquet endpoint does not trivialize the drive path
What the spin-chain twist algebra proves when the one-period unitary is the identity, what it does not prove, and how micromotion topology requires an independent path or defect invariant.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 60 min
- Topics
- Condensed matter · Quantum information · Mathematical physics
- PHYS-2026-08-02-01
Bulk stabilization does not bind every finite quantum droplet
How zero pressure and positive compressibility define an LHY-stabilized bulk liquid, while gradients, curvature, and particle emission determine whether a finite Bose mixture is self-bound.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 60 min
- Topics
- Condensed matter · Quantum theory · Statistical mechanics
- PHYS-2026-08-01-01
Liouvillian gaps, Jordan blocks, and observable relaxation
Why a finite Liouvillian gap fixes an asymptotic exponential scale but not the full relaxation curve, mixing time, or decay seen by a chosen observable.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 60 min
- Topics
- Quantum theory · Statistical mechanics · Mathematical physics
July 2026
- PHYS-2026-07-31-01
Unitarity, fluctuations, and counting fields on the closed time path
How branch equality normalizes Schwinger–Keldysh theory while branch differences generate causal response, nonequilibrium occupations, and charge-transfer cumulants.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 60 min
- Topics
- Quantum field theory · Condensed matter · Statistical mechanics
- PHYS-2026-07-30-01
Long logical strings, short thermal barriers
Why the two-dimensional toric code has distance L and exponentially narrow zero-temperature ground-state bands, yet only a constant energy barrier against local thermal errors.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 55 min
- Topics
- Quantum information · Condensed matter · Statistical mechanics
- PHYS-2026-07-29-01
When a one-form anomaly orders thermal transitions
How the mixed CP-center anomaly of four-dimensional SU(2) Yang-Mills descends to a finite-temperature constraint, and why it orders transition temperatures without fixing their equality or universality classes.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 60 min
- Topics
- Quantum field theory · Mathematical physics · Particle physics
- PHYS-2026-07-28-01
One static fixed point, two critical clocks
Why the same equilibrium phi-four theory can produce Model-A and Model-B response poles, different relaxation laws, and different dynamical critical exponents.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 55 min
- Topics
- Statistical mechanics · Quantum field theory · Condensed matter
- PHYS-2026-07-27-01
Many-body path integrals beyond tunnelling
How interacting path integrals connect auxiliary fields and collective saddles to sign problems, Keldysh contours, complex manifolds, generative sampling, and temporal tensor networks.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 70 min
- Topics
- Quantum field theory · Condensed matter · Statistical mechanics
- PHYS-2026-07-26-01
Where quantum speedup actually hides
A Sunday audit of QSVT, quantum linear systems, data access, condition numbers, readout, and fault tolerance—showing why quantum advantage belongs to an end-to-end pipeline rather than an isolated circuit.
- Format
- Weekly consolidation
- Level
- Graduate advanced
- Time
- 65 min
- Topics
- Quantum information · Quantum theory · Mathematical physics
- PHYS-2026-07-25-01
When logarithmic entanglement lies about universality
The XXZ ferromagnetic endpoint shows how a Dicke state can imitate conformal entanglement scaling while its excitations remain nonrelativistic, and why MPS diagnostics need independent dynamical checks.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 55 min
- Topics
- Condensed matter · Quantum field theory · Quantum information
- PHYS-2026-07-24-01
From a local zero to Laughlin topological order
What the Laughlin clustering rule determines exactly, what additionally requires a gap and screening, and how quasiholes connect microscopic zeros to topological field theory.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 55 min
- Topics
- Condensed matter · Quantum theory · Mathematical physics
- PHYS-2026-07-23-01
When spectral broadening is physical
From exact real-axis poles to continuum resonances, branch cuts, and the limited regime in which a linewidth becomes a lifetime.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 45 min
- Topics
- Condensed matter · Quantum theory · Mathematical physics
- PHYS-2026-07-22-02
Entropy increase from unstable representations
How reversible microscopic dynamics yields an irreversible effective description through coarse-graining, correlations, and low-entropy boundary data.
- Format
- Supplement
- Level
- Graduate advanced
- Time
- 40 min
- Topics
- Statistical mechanics · Classical mechanics · Quantum information
- PHYS-2026-07-21-01
Self-adjointness as boundary data
Why choosing the domain of a quantum Hamiltonian is part of specifying the observable.
- Format
- Daily
- Level
- Graduate advanced
- Time
- 25 min
- Topics
- Quantum theory · Mathematical physics
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