Renormalization MCQs with Answers

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Renormalization Online Quiz

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• Test Name: Renormalization MCQ Quiz Practice
• Type: Quiz Test
• Total Questions: 40
• Total Marks: 40
• Time: 40 minutes

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Renormalization

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1 / 40

What is an asymptotically free theory?

Coupling is constant

Coupling decreases at high energies

Coupling increases at high energies

2 / 40

What does UV stand for in the context of renormalization?

Unifying Vector

Universal Variables

Ultraviolet

3 / 40

Which of the following is a non-renormalizable interaction?

Gravity

Weak interaction

Electromagnetism

4 / 40

Which field is primarily associated with renormalization in statistical mechanics?

Critical phenomena

Fluid dynamics

Solid state physics

5 / 40

What is the "running coupling constant"?

Position-dependent coupling

Energy-dependent coupling

Time-independent coupling

6 / 40

What does IR stand for in renormalization terminology?

Intermediate Range

Initial Reference

Infrared

7 / 40

What is a common method to regularize integrals in renormalization?

Dimensional regularization

Fourier series

Laplace transform

8 / 40

What is an example of a renormalization scheme?

Minimal subtraction

Augmented subtraction

Renormalized subtraction

9 / 40

What is the purpose of a counterterm in renormalization?

Introduce symmetry

Cancel infinities

Define boundary conditions

10 / 40

What is the role of the renormalization scale parameter?

Determine particle speed

Set scale for physical processes

Calculate wave functions

11 / 40

Which scientist is known for the path integral formulation related to renormalization?

Erwin Schrödinger

Richard Feynman

Paul Dirac

12 / 40

What is the concept of "effective field theory"?

Low-energy approximation

High-energy limit

Exact solution of equations

13 / 40

What is the main benefit of using dimensional regularization?

Simplifies divergent integrals

Increases accuracy of results

Enhances computational speed

14 / 40

In which dimensional space is Quantum Field Theory usually renormalized?

Four-dimensional

Two-dimensional

Three-dimensional

15 / 40

What is an anomalous dimension in the context of renormalization?

Irregular space-time point

Modified scaling dimension

Unusual particle state

16 / 40

What is the primary focus of the Callan-Symanzik equation?

Wave-particle duality

Scale dependence of Green's functions

Particle trajectories

17 / 40

What is a practical application of renormalization in condensed matter physics?

Study of phase transitions

Analysis of crystal structures

Measurement of thermal expansion

18 / 40

In which theory is renormalization primarily used?

Classical Mechanics

Statistical Mechanics

Quantum Field Theory

19 / 40

What is the Landau pole?

Energy where coupling constant diverges

A stable energy level

A point of zero interaction

20 / 40

Who shared the Nobel Prize with Kenneth Wilson for contributions to renormalization?

Julian Schwinger

No one

Steven Weinberg

21 / 40

Which is an example of a non-perturbative method in renormalization?

Perturbation theory

Mean-field approximation

Lattice gauge theory

22 / 40

What does the Gell-Mann–Low equation describe?

Wave function collapse

Particle decay rates

Evolution of coupling constants

23 / 40

What is a lattice in the context of lattice gauge theory?

Continuous space

Energy level spectrum

Discrete space-time structure

24 / 40

What role do dimensional regularization techniques play in renormalization?

Increase dimensions

Measure particle sizes

Handle divergences in integrals

25 / 40

What is the primary goal of renormalization in quantum field theory?

Remove infinities

Discretize space-time

Introduce anomalies

26 / 40

What is meant by "renormalizable theory"?

No need for renormalization

Infinities can be systematically removed

Cannot be renormalized

27 / 40

What is the fixed point in renormalization group theory?

A scale where parameters don't change

A random point in space-time

A point of divergence

28 / 40

What is the renormalization group flow?

Trajectory of parameters under renormalization

Random walk in space

Time evolution of wave functions

29 / 40

Who formulated the renormalization group equations?

Kenneth Wilson

Niels Bohr

Werner Heisenberg

30 / 40

What does the term "operator product expansion" (OPE) describe?

Long-distance interactions

Short-distance behavior of operators

Intermediate-range behavior

31 / 40

What is the physical meaning of the renormalization group?

Study how physical parameters change

Describe quantum states

Calculate exact solutions

32 / 40

What does the term "bare coupling" refer to in renormalization?

Zero coupling limit

Measured physical coupling

Original, unrenormalized coupling

33 / 40

Which technique is used in renormalization to handle infinite quantities?

Regularization

Symmetrization

Normalization

34 / 40

Who introduced the concept of renormalization?

Richard Feynman

Hans Kramers and Norman Mott

Albert Einstein

35 / 40

What is the renormalization group (RG) transformation?

Change of particle identity

Shifting of energy levels

Rescaling of parameters

36 / 40

What is the main idea behind lattice QCD?

Discretize space-time for QCD calculations

Approximate particle trajectories

Measure continuous variables

37 / 40

What does the beta function describe in renormalization group theory?

Particle masses

Running of coupling constants

Interaction ranges

38 / 40

Which renormalization method involves integrating out high-energy modes?

Pauli-Villars

Schwinger-Dyson

Wilsonian

39 / 40

What is the purpose of the renormalization constant?

Adjust coordinate systems

Relate bare and renormalized quantities

Measure physical observables

40 / 40

Which phenomenon in quantum field theory is associated with asymptotic freedom?

General Relativity

QCD (Quantum Chromodynamics)

QED (Quantum Electrodynamics)

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